113392800 has 108 divisors (see below), whose sum is σ = 399876750. Its totient is φ = 30236160.

The previous prime is 113392781. The next prime is 113392831. The reversal of 113392800 is 8293311.

It can be written as a sum of positive squares in 3 ways, for example, as 48944016 + 64448784 = 6996^2 + 8028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 675 + ... + 15074.

Almost surely, 2^113392800 is an apocalyptic number.

113392800 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 113392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199938375).

113392800 is an abundant number, since it is smaller than the sum of its proper divisors (286483950).

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

113392800 is a wasteful number, since it uses less digits than its factorization.

113392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 113392800 is about 10648.6055425112. The cubic root of 113392800 is about 484.0183495991.

The spelling of 113392800 in words is "one hundred thirteen million, three hundred ninety-two thousand, eight hundred".