113709600 has 216 divisors, whose sum is σ = 425011860. Its totient is φ = 28508160.

The previous prime is 113709599. The next prime is 113709619. The reversal of 113709600 is 6907311.

It can be written as a sum of positive squares in 6 ways, for example, as 23155344 + 90554256 = 4812^2 + 9516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121936 + ... + 122864.

Almost surely, 2^113709600 is an apocalyptic number.

113709600 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 113709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212505930).

113709600 is an abundant number, since it is smaller than the sum of its proper divisors (311302260).

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

113709600 is a wasteful number, since it uses less digits than its factorization.

113709600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 113709600 is about 10663.4703544390. The cubic root of 113709600 is about 484.4686851739.

The spelling of 113709600 in words is "one hundred thirteen million, seven hundred nine thousand, six hundred".