113904800 has 36 divisors (see below), whose sum is σ = 278072046. Its totient is φ = 45561600.

The previous prime is 113904799. The next prime is 113904821. The reversal of 113904800 is 8409311.

It can be written as a sum of positive squares in 3 ways, for example, as 85303696 + 28601104 = 9236^2 + 5348^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113904800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70391 + ... + 71990.

Almost surely, 2^113904800 is an apocalyptic number.

113904800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113904800 is an abundant number, since it is smaller than the sum of its proper divisors (164167246).

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

113904800 is a wasteful number, since it uses less digits than its factorization.

113904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142401 (or 142388 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 113904800 is about 10672.6191724431. The cubic root of 113904800 is about 484.7457483396.

The spelling of 113904800 in words is "one hundred thirteen million, nine hundred four thousand, eight hundred".