108208100 has 288 divisors, whose sum is σ = 335978496. Its totient is φ = 29145600.

The previous prime is 108208099. The next prime is 108208127. The reversal of 108208100 is 1802801.

108208100 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×108208100² = 23417985811220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2302277 + ... + 2302323.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^108208100 is an apocalyptic number.

108208100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108208100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

108208100 is an abundant number, since it is smaller than the sum of its proper divisors (227770396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108208100 is a wasteful number, since it uses less digits than its factorization.

108208100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 108208100 is about 10402.3122429583. The cubic root of 108208100 is about 476.5259880116.

108208100 divided by its sum of digits (20) gives a triangular number (5410405 = T₃₂₈₉).

The spelling of 108208100 in words is "one hundred eight million, two hundred eight thousand, one hundred".