113395200 has 120 divisors (see below), whose sum is σ = 374720808. Its totient is φ = 30228480.

The previous prime is 113395199. The next prime is 113395259. The reversal of 113395200 is 2593311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 36924 + ... + 39876.

Almost surely, 2^113395200 is an apocalyptic number.

113395200 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 113395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187360404).

113395200 is an abundant number, since it is smaller than the sum of its proper divisors (261325608).

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

113395200 is an equidigital number, since it uses as much as digits as its factorization.

113395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 113395200 is about 10648.7182327264. The cubic root of 113395200 is about 484.0217643834.

The spelling of 113395200 in words is "one hundred thirteen million, three hundred ninety-five thousand, two hundred".