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108 is the number following 107 and preceding 109[1].

Properties[]

  • 108 is abundant.[9]
  • Its prime factorization is 22 × 33.
  • It is the 3rd hyperfactorial number, since it is equal to \(3^3 \times 2^2 \times 1^1\).
  • It is the number of playing cards in an UNO deck, and the atomic number of the element hassium, which had the systematic symbol Uno.

Approximations[]

Notation Lower bound Upper bound
Up-arrow notation 10 ↑ 2
Scientific notation 1.08 x 102 1.081 x 102
Slow-growing hierarchy \(g_{\omega^{\omega}}(3)\) \(g_{\omega^{\omega}}(4)\)
Copy notation 9[2] 1[3]
Chained arrow notation 10 → 2
Bowers' Exploding Array Function/Bird's array notation {10,2}
Fast-growing hierarchy f1(53) f1(54)
Hardy hierarchy Hω(54) Hω(54)
Middle-growing hierarchy m(ω,6) m(ω,7)
Hyper-E notation E2.0334
Hyper-E notation (non-10 base) \(E[10]2\)
Hyperfactorial array notation 4! 5!
X-Sequence Hyper-Exponential Notation 10{1}2
Steinhaus-Moser Notation 3[3] 4[3]
PlantStar's Debut Notation [1] [2]
H* function H(-0.4) H(-0.3)
Bashicu matrix system with respect to version 4 (0)[10] (0)[11]
m(n) map m(1)(3) m(1)(4)
s(n) map \(s(1)(\lambda x . x+1)(53)\) \(s(1)(\lambda x . x+1)(54)\)

Sources[]