108608400 has 90 divisors (see below), whose sum is σ = 376913810. Its totient is φ = 28961280.

The previous prime is 108608347. The next prime is 108608413. The reversal of 108608400 is 4806801.

108608400 is a `hidden beast` number, since 10 + 8 + 608 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8928144 + 99680256 = 2988^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11485 + ... + 18684.

Almost surely, 2^108608400 is an apocalyptic number.

108608400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108608400 is an abundant number, since it is smaller than the sum of its proper divisors (268305410).

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

108608400 is a wasteful number, since it uses less digits than its factorization.

108608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30193 (or 30179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108608400 is about 10421.5353955163. The cubic root of 108608400 is about 477.1128775756.

The spelling of 108608400 in words is "one hundred eight million, six hundred eight thousand, four hundred".