Magic resistance

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Counterspell icon.png
▶️ Thy magic harms me not.
Anti-Mage

Magic resistance is a stat that reduces (or increases, if negative) magical damage a unit takes from spells and attacks. Every unit is capable of gaining or losing magic resistance, and most units start with a small amount of base resistance. A hero's magic resistance can be passively increased with strength, talents, certain items, and some abilities. Magic resistance of any unit can also be temporarily increased or reduced with some abilities.

Each point of strength increases a hero's magic resistance by 0.08.

Base magic resistance[edit]

Base magic resistance is a value that never changes throughout a game. It consists of one fixed value set for each unit individually. The base magic resistance of a unit can be a negative number.

Heroes[edit]

Heroes Magic resistance
AbaddonAlchemistAncient ApparitionAnti-MageArc WardenAxeBaneBatriderBeastmasterBloodseekerBounty HunterBrewmasterBristlebackBroodmotherCentaur WarrunnerChaos KnightChenClinkzClockwerkCrystal MaidenDark SeerDark WillowDazzleDeath ProphetDisruptorDoomDragon KnightDrow RangerEarth SpiritEarthshakerElder TitanEmber SpiritEnchantressEnigmaFaceless VoidGrimstrokeGyrocopterHuskarInvokerIoJakiroJuggernautKeeper of the LightKunkkaLegion CommanderLeshracLichLifestealerLinaLionLone DruidLunaLycanMagnusMarsMedusaMeepoMiranaMonkey KingMorphlingNaga SirenNature's ProphetNecrophosNight StalkerNyx AssassinOgre MagiOmniknightOracleOutworld DevourerPangolierPhantom AssassinPhantom LancerPhoenixPuckPudgePugnaQueen of PainRazorRikiRubickSand KingShadow DemonShadow FiendShadow ShamanSilencerSkywrath MageSlardarSlarkSnapfireSniperSpectreSpirit BreakerStorm SpiritSvenTechiesTemplar AssassinTerrorbladeTidehunterTimbersawTinkerTinyTreant ProtectorTroll WarlordTuskUnderlordUndyingUrsaVengeful SpiritVenomancerViperVisageVoid SpiritWarlockWeaverWindrangerWinter WyvernWitch DoctorWraith KingZeus 0.25

Creeps[edit]

Units Magic resistance
Alpha WolfAncient Black DrakeAncient Prowler AcolyteAncient Prowler ShamanCentaur ConquerorCentaur CourserDark Troll SummonerFell SpiritGhostGiant WolfHarpy ScoutHarpy StormcrafterHellbearHellbear SmasherHill TrollHill Troll BerserkerHill Troll PriestKoboldKobold ForemanKobold SoldierMega Melee CreepMega Ranged CreepMelee CreepOgre BruiserOgre FrostmageRanged CreepSatyr BanisherSatyr MindstealerSatyr TormenterSuper Melee CreepSuper Ranged CreepVhoul AssassinWildwingWildwing Ripper 0%
Mud GolemShard Golem 50%
Roshan 55%
Ancient Black DragonAncient Granite GolemAncient Rock GolemAncient RumblehideAncient Thunderhide 70%
Siege CreepSuper Siege Creep 80%

Summons[edit]

Summons Magic resistance
Astral SpiritBoarEarthFireForged SpiritGreater TreantHawkSkeleton WarriorSpirit BearStormTreant 0%
Undying ZombieWarlock's Golem 33%
Familiar 35%
Necronomicon ArcherNecronomicon WarriorSpideriteSpiderling 40%
EidolonWraith King Skeleton 50%
Lycan Wolf 70%

Stacking[edit]

All sources of magic resistance stack multiplicatively. This means a unit's magic resistance value changes less the higher its magic resistance is, and more the lower it is. This prevents a unit from reaching 100% magic resistance by stacking different sources up.

There are several abilities that set a unit's magic resistance to 100%. Besides them, the magic resistance granted by strength can theoretically reach 100% as well, since the bonus from strength gets summed up into, and treated as one instance. This means that heroes can theoretically reach 100% magic resistance with 1250 strength.

Formula

For total magic resistance of a unit (multiply the result by 100 to get the percentage value):

Total magic resistance = 1 − ((1 − natural resistance) × (1 - strength × 0.08%) × (1 − first resistance bonus) × (1 − second resistance bonus) × (1 + first resistance reduction) × (1 + second resistance reduction))

For magical damage after magic resistance:

Actual damage = magical damage × (1 − natural resistance) × (1 - strength × 0.08%) × (1 − first resistance bonus) × (1 − second resistance bonus) × (1 + first resistance reduction) × (1 + second resistance reduction)

Example:

Anti-Mage minimap icon.png Anti-Mage with level 4 Counterspell and a Cloak icon.png Cloak has a magic resistance of:
1 - (1 - 0.25) × (1 - 0.45) × (1 - 0.15) = 64.9375%
Visage minimap icon.png Visage on max level under the effect of a level 4 Ancient Seal and a level 4 Decrepify cast by an enemy has a magic resistance of:
1 - (1 - 0.25) × (1 - (103.2 × 0.08)) × (1 + 0.45) × (1 + 0.6) = -59.63%

Effective HP[edit]

The extra damage a unit can take due to magic resistance is known as its extra effective HP (or EHP) for magical damage. Despite each source of magic resistance increasing the magic resistance value less the higher it is and making them seem less effective, each sources increases the unit's effective HP against magical damage by their base value. A unit with 0% magic resistance has 100% effective HP against magical damage, means magical damage equaling 100% of its health is required to kill it. Most heroes have 0.25 magic resistance by default, making their effective HP against magical damage 133.33%.

Magic resistance -100% -75% -50% -25% -10% 0% 10% 25% 50% 75% 100%
Effective HP 500 571 667 800 909 1000 1111 1333 2000 4000
Calculating effective HP
Effective HP = Total HP / (1 - magic resistance)

Instead of diminishing in effectiveness, multiple sources of resistance are actually more effective stacked than they are individually. Two sources of 25% resistance stacked provides 78% extra effective HP whereas one source provides 33%.

Example
Anti-Mage minimap icon.png Anti-Mage has 1400 health at max level. With his basic magic resistance, max level Counterspell and a Cloak icon.png Cloak, he has an effective HP of:
1400 / (1 - 64.9375 × 0.01) = 3992.87 effective HP
Visage minimap icon.png Visage has 2260 health at max level. With his basic magic resistance, while under the effect of a level 4 Ancient Seal and an enemy level 4 Decrepify, he has an effective HP of:
2260 / (1 - -74 × 0.01) = 1298.85 effective HP

Modifying magic resistance[edit]

Several abilites and items have abilities that grant or reduce magic resistance.

Magic resistance increasing abilities[edit]

The following abilities increase magic resistance:

Magic resistance increasing abilities
  • Counterspell icon.png
    Magic resistance bonus: 15%/25%/35%/45% (Talent 40%/50%/60%/70%)
    Passive.
  • Cloak Aura (Centaur Courser) icon.png
    Hero magic resistance bonus: 10%
    Non-hero magic resistance bonus: 20%
    Aura, affects nearby allies. The buff lingers for 0.5 seconds.
  • Phantasm icon.png
    Illusion magic resistance bonus: 25%
    The spawned illusions gain bonus magic resistance.
  • Arcane Aura icon.png
    Magic resistance bonus: 0% (Talent 10%)
    Self bonus factor: 3
    Requires a Talent Talent. Aura, affects all allies on the map. Has stronger effect on self. The buff lingers for 0.5 seconds.
  • Elder Dragon Form icon.png
    Magic resistance bonus: 0%/0%/0% (Upgradable by Aghanim's Scepter. /40%)
    Only granted on level 4, which requires Aghanim's Scepter icon.png Aghanim's Scepter.
  • Glimmer Cape icon.png
    Magic resistance bonus: 45%
    Duration: 5
    Affects the target ally. The magic resistance is only applied when fully invisible. It is not applied during the fade time.
  • Cloak Aura (Hellbear) icon.png
    Hero magic resistance bonus: 10%
    Non-hero magic resistance bonus: 20%
    Aura, affects nearby allies The buff lingers for 0.5 seconds.
  • Fate's Edict icon.png
    Magic resistance bonus: 100%
    Duration: 3/3.5/4/4.5
    Affects the target unit.
  • Pipe of Insight icon.png
    Magic resistance bonus: 10%
    Aura, affects nearby allies. The buff lingers for 0.5 seconds.
  • Demolish (Spirit Bear) icon.png
    Magic resistance bonus: 33%
    Passive.
  • Corrosive Skin icon.png
    Magic resistance bonus: 10%/15%/20%/25% (Talent 16%/21%/26%/31%)
    Passive.

Magic resistance reducing abilities[edit]

The following abilities reduce magic resistance:

Magic resistance reducing abilities
  • Ice Vortex icon.png
    Magic resistance reduction: 15%/20%/25%/30% (Talent 23%/28%/33%/38%)
    Duration: 16
    Aura, affects enemies within the target area. The debuff lingers for 0.5 seconds.
  • Enfeeble icon.png
    Magic resistance reduction: 4%/8%/12%/16%
    Duration: 8
    Affects the target of every single-target non-item spell cast by the hero. The debuff is placed before the triggering spell takes effect.
  • Natural Order icon.png
    Base magic resistance negation: 40%/60%/80%/100%
    Aura, affects enemies within range of the Unknown Unit icon.png Astral Spirit. The reduction is based on the enemies' base magic resistance. The debuff lingers for 1 seconds.
  • Ethereal Blade icon.png
    Magic resistance reduction: 40%
    Duration: 4
    Affects the target unit. The magic resistance reduction of multiple ethereal effects does not stack, the one with higher value takes priority.
  • Ghost Scepter icon.png
    Magic resistance reduction: 40%
    Duration: 4
    Affects the caster. The magic resistance reduction of multiple ethereal effects does not stack, the one with higher value takes priority.
  • Grove Bow icon.png
    Magic resistance reduction: 12%
    Duration: 6
    Affects the attacked enemy.
  • Ghost Shroud icon.png
    Magic resistance reduction: 40%
    Duration: 3/3.5/4/4.5
    Affects the caster. The magic resistance reduction of multiple ethereal effects does not stack, the one with higher value takes priority.
  • Decrepify icon.png
    Ally magic resistance reduction: 25%
    Enemy magic resistance reduction: 30%/40%/50%/60%
    Duration: 3.5 (Talent 5.5)
    Affects the target unit. The magic resistance reduction of multiple ethereal effects does not stack, the one with higher value takes priority.
  • Ancient Seal icon.png
    Magic resistance reduction: 30%/35%/40%/45% (Talent 45%/50%/55%/60%)
    Duration: 3/4/5/6
    Affects the target enemy.
  • Poison Attack icon.png
    Magic resistance reduction per stack: 3%/5%/7%/9%
    Max stacks: 5
    Duration: 4
    Affects the attacked enemy.

Magic resistance granting talents[edit]

The following heroes have a talent that grants them bonus magic resistance.

Bonus Level 10 Level 15 Level 20 Level 25
Left Right Left Right Left Right Left Right
Magic resistance

Besides these, the following heroes have talents which increase the magic resistance of the units they summon

Specific summons magic resistance bonus

Magic resistance granting items[edit]

These items grant bonus magic resistance to the hero who has them equipped.

Magic resistance granting items
Item Value Item cost Cost per value point
<a href="/Bracer" title="Bracer"><img alt="Bracer icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/6/6e/Bracer_icon.png/20px-Bracer_icon.png?version=03c4ec66fddf87c13551da31eb30e958" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/6/6e/Bracer_icon.png/30px-Bracer_icon.png?version=03c4ec66fddf87c13551da31eb30e958 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/6/6e/Bracer_icon.png/40px-Bracer_icon.png?version=03c4ec66fddf87c13551da31eb30e958 2x" /></a> 5 510 102
<a href="/Cloak" title="Cloak"><img alt="Cloak icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/2/21/Cloak_icon.png/20px-Cloak_icon.png?version=7a0f395f403c98ebae03a0a199077ec0" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/2/21/Cloak_icon.png/30px-Cloak_icon.png?version=7a0f395f403c98ebae03a0a199077ec0 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/2/21/Cloak_icon.png/40px-Cloak_icon.png?version=7a0f395f403c98ebae03a0a199077ec0 2x" /></a> 15 550 36.67
<a href="/Glimmer_Cape" title="Glimmer Cape"><img alt="Glimmer Cape icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/c/ce/Glimmer_Cape_icon.png/20px-Glimmer_Cape_icon.png?version=d2e9da1c94e130b41fef5825bcba7857" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/c/ce/Glimmer_Cape_icon.png/30px-Glimmer_Cape_icon.png?version=d2e9da1c94e130b41fef5825bcba7857 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/c/ce/Glimmer_Cape_icon.png/40px-Glimmer_Cape_icon.png?version=d2e9da1c94e130b41fef5825bcba7857 2x" /></a> 15 1950 130
<a href="/Hood_of_Defiance" title="Hood of Defiance"><img alt="Hood of Defiance icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/a/ad/Hood_of_Defiance_icon.png/20px-Hood_of_Defiance_icon.png?version=db6b16825a0eb246fd5b4197e550ab75" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/a/ad/Hood_of_Defiance_icon.png/30px-Hood_of_Defiance_icon.png?version=db6b16825a0eb246fd5b4197e550ab75 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/a/ad/Hood_of_Defiance_icon.png/40px-Hood_of_Defiance_icon.png?version=db6b16825a0eb246fd5b4197e550ab75 2x" /></a> 25 1650 66
<a href="/Nether_Shawl" title="Nether Shawl"><img alt="Nether Shawl icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/e/e7/Nether_Shawl_icon.png/20px-Nether_Shawl_icon.png?version=2cfb13adfc47e79ca850cc2511b3a75b" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/e/e7/Nether_Shawl_icon.png/30px-Nether_Shawl_icon.png?version=2cfb13adfc47e79ca850cc2511b3a75b 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/e/e7/Nether_Shawl_icon.png/40px-Nether_Shawl_icon.png?version=2cfb13adfc47e79ca850cc2511b3a75b 2x" /></a> 20 N/A N/A
<a href="/Pipe_of_Insight" title="Pipe of Insight"><img alt="Pipe of Insight icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/7/76/Pipe_of_Insight_icon.png/20px-Pipe_of_Insight_icon.png?version=b4c5c7d7ed647aa0503b96c5d3dda4f4" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/7/76/Pipe_of_Insight_icon.png/30px-Pipe_of_Insight_icon.png?version=b4c5c7d7ed647aa0503b96c5d3dda4f4 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/7/76/Pipe_of_Insight_icon.png/40px-Pipe_of_Insight_icon.png?version=b4c5c7d7ed647aa0503b96c5d3dda4f4 2x" /></a> 30 2900 96.67
<a href="/Titan_Sliver" title="Titan Sliver"><img alt="Titan Sliver icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/9/94/Titan_Sliver_icon.png/20px-Titan_Sliver_icon.png?version=3f2998c4c98acfbccabe8455cc788272" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/9/94/Titan_Sliver_icon.png/30px-Titan_Sliver_icon.png?version=3f2998c4c98acfbccabe8455cc788272 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/9/94/Titan_Sliver_icon.png/40px-Titan_Sliver_icon.png?version=3f2998c4c98acfbccabe8455cc788272 2x" /></a> 16 N/A N/A
<a href="/Vambrace_(Strength)" title="Vambrace (Strength)"><img alt="Vambrace (Strength) icon.png" src="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/a/a0/Vambrace_%28Strength%29_icon.png/20px-Vambrace_%28Strength%29_icon.png?version=9359f6dd712fdc364963f92443813235" decoding="async" width="20" height="15" class="noprint" srcset="https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/a/a0/Vambrace_%28Strength%29_icon.png/30px-Vambrace_%28Strength%29_icon.png?version=9359f6dd712fdc364963f92443813235 1.5x, https://gamepedia.cursecdn.com/dota2_gamepedia/thumb/a/a0/Vambrace_%28Strength%29_icon.png/40px-Vambrace_%28Strength%29_icon.png?version=9359f6dd712fdc364963f92443813235 2x" /></a> 10 1020 102

Magical damage barrier[edit]

Magical damage barriers absorb a set amount of magical damage, no matter whether it comes from spells (magical spell damage) or attacks (magical attack damage). They absorb the damage before it is reduced by magic resistance. This means when a hero with for example 25% magic resistance and a 300 health damage barrier gets hit by 400 magical damage, the shield will absorb 300 of that. The exceeding 100 are not absorbed and are now reduced by the 25% magic resistance down to 75. So in this scenario, the hero takes 75 damage. This means a barrier is more effective the lower a unit's magic resistance is, similar to how damage block is more effective, the lower the armor is.

Multiple sources of magical damage barriers do not stack. When affected by multiple, all of them deplete at the same time. For example, if a unit is affected by a level 4 Flame Guard (500 barrier health) and by Pipe of Insight (400 barrier health), and then takes 300 magical damage, both shields lose 300 capacity, leaving Flame Guard with 200 and Pipe of Insight 100 absorb capacity.
However, if a unit is affected by multiple barriers, and then receives a damage instance that is greater than all barriers individually, the damage gets blocked as if the barriers were one barrier with combined capacity. For example, if a unit is affected by a level 4 Flame Guard (500 barrier health) and by Pipe of Insight (400 barrier health), and then takes 1000 magical damage, both barriers get depleted, and the unit takes the remaining 100 damage.

Sources of magic damage barriers