113235600 has 120 divisors (see below), whose sum is σ = 365333760. Its totient is φ = 29980160.

The previous prime is 113235587. The next prime is 113235607. The reversal of 113235600 is 6532311.

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

It is a super-2 number, since 2×113235600² = 25644602214720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113235607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236161 + ... + 236639.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 2^113235600 is an apocalyptic number.

113235600 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 113235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

113235600 is an abundant number, since it is smaller than the sum of its proper divisors (252098160).

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

113235600 is a wasteful number, since it uses less digits than its factorization.

113235600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 113235600 is about 10641.2217343687. The cubic root of 113235600 is about 483.7945762127.

Adding to 113235600 its reverse (6532311), we get a palindrome (119767911).

The spelling of 113235600 in words is "one hundred thirteen million, two hundred thirty-five thousand, six hundred".