113072100 has 72 divisors (see below), whose sum is σ = 346415328. Its totient is φ = 28377600.

The previous prime is 113072087. The next prime is 113072123. The reversal of 113072100 is 1270311.

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 113072100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5986 + ... + 16185.

It is an arithmetic number, because the mean of its divisors is an integer number (4811324).

Almost surely, 2^113072100 is an apocalyptic number.

113072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113072100 is an abundant number, since it is smaller than the sum of its proper divisors (233343228).

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

113072100 is a wasteful number, since it uses less digits than its factorization.

113072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22205 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 113072100 is about 10633.5365706805. The cubic root of 113072100 is about 483.5616149808.

The spelling of 113072100 in words is "one hundred thirteen million, seventy-two thousand, one hundred".