113200800 has 144 divisors (see below), whose sum is σ = 372913632. Its totient is φ = 29824000.

The previous prime is 113200741. The next prime is 113200819. The reversal of 113200800 is 8002311.

It is a happy number.

It is a super-2 number, since 2×113200800² = 25628842241280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113200800.

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, 242167 + ... + 242633.

It is an arithmetic number, because the mean of its divisors is an integer number (2589678).

Almost surely, 2^113200800 is an apocalyptic number.

113200800 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 113200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186456816).

113200800 is an abundant number, since it is smaller than the sum of its proper divisors (259712832).

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

113200800 is a wasteful number, since it uses less digits than its factorization.

113200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 113200800 is about 10639.5864581289. The cubic root of 113200800 is about 483.7450105983.

The spelling of 113200800 in words is "one hundred thirteen million, two hundred thousand, eight hundred".