113583800 has 96 divisors (see below), whose sum is σ = 305136720. Its totient is φ = 38860800.

The previous prime is 113583797. The next prime is 113583803. The reversal of 113583800 is 8385311.

It is an interprime number because it is at equal distance from previous prime (113583797) and next prime (113583803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113583803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35882 + ... + 38918.

Almost surely, 2^113583800 is an apocalyptic number.

113583800 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 113583800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568360).

113583800 is an abundant number, since it is smaller than the sum of its proper divisors (191552920).

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

113583800 is a wasteful number, since it uses less digits than its factorization.

113583800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 113583800 is about 10657.5700795256. The cubic root of 113583800 is about 484.2899589864.

The spelling of 113583800 in words is "one hundred thirteen million, five hundred eighty-three thousand, eight hundred".