113923200 has 96 divisors (see below), whose sum is σ = 375266160. Its totient is φ = 30376960.

The previous prime is 113923193. The next prime is 113923219. The reversal of 113923200 is 2329311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3667 + ... + 15533.

Almost surely, 2^113923200 is an apocalyptic number.

113923200 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 113923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187633080).

113923200 is an abundant number, since it is smaller than the sum of its proper divisors (261342960).

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

113923200 is a wasteful number, since it uses less digits than its factorization.

113923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11894 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 113923200 is about 10673.4811565862. The cubic root of 113923200 is about 484.7718486197.

The spelling of 113923200 in words is "one hundred thirteen million, nine hundred twenty-three thousand, two hundred".