113259600 has 120 divisors (see below), whose sum is σ = 403158720. Its totient is φ = 30199680.

The previous prime is 113259599. The next prime is 113259617. The reversal of 113259600 is 6952311.

113259600 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 59 + 600 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5557 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (3359656).

Almost surely, 2^113259600 is an apocalyptic number.

113259600 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 113259600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201579360).

113259600 is an abundant number, since it is smaller than the sum of its proper divisors (289899120).

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

113259600 is a wasteful number, since it uses less digits than its factorization.

113259600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 113259600 is about 10642.3493646845. The cubic root of 113259600 is about 483.8287534785.

The spelling of 113259600 in words is "one hundred thirteen million, two hundred fifty-nine thousand, six hundred".