113692200 has 96 divisors (see below), whose sum is σ = 371032800. Its totient is φ = 28719360.

The previous prime is 113692193. The next prime is 113692213. The reversal of 113692200 is 2296311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 6414 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (3864925).

Almost surely, 2^113692200 is an apocalyptic number.

113692200 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 113692200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185516400).

113692200 is an abundant number, since it is smaller than the sum of its proper divisors (257340600).

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

113692200 is a wasteful number, since it uses less digits than its factorization.

113692200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 113692200 is about 10662.6544537465. The cubic root of 113692200 is about 484.4439725577.

The spelling of 113692200 in words is "one hundred thirteen million, six hundred ninety-two thousand, two hundred".