104 (number)

104 is a refactorable number^[1] and a primitive semiperfect number.^[2]

The smallest known 4-regular matchstick graph has 104 edges and 52 vertices, where four unit line segments intersect at every vertex.^[3]

The second largest sporadic group ${\displaystyle \mathbb {B} }$ has a McKay–Thompson series, representative of a principal modular function is ${\displaystyle T_{2A}(\tau )}$, with constant term ${\displaystyle a(0)=104}$:^[4]

${\displaystyle j_{2A}(\tau )=T_{2A}(\tau )+104={\frac {1}{q}}+104+4372q+96256q^{2}+\cdots }$

The Tits group ${\displaystyle \mathbb {T} }$, which is the only finite simple group to classify as either a non-strict group of Lie type or sporadic group, holds a minimal faithful complex representation in 104 dimensions.^[5]