113632100 has 36 divisors (see below), whose sum is σ = 247085748. Its totient is φ = 45360000.

The previous prime is 113632091. The next prime is 113632117. The reversal of 113632100 is 1236311.

It can be written as a sum of positive squares in 6 ways, for example, as 4596736 + 109035364 = 2144^2 + 10442^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69290 + ... + 70910.

It is an arithmetic number, because the mean of its divisors is an integer number (6863493).

Almost surely, 2^113632100 is an apocalyptic number.

113632100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113632100 is an abundant number, since it is smaller than the sum of its proper divisors (133453648).

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

113632100 is a wasteful number, since it uses less digits than its factorization.

113632100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 113632100 is about 10659.8358336327. The cubic root of 113632100 is about 484.3585952127.

Adding to 113632100 its reverse (1236311), we get a palindrome (114868411).

The spelling of 113632100 in words is "one hundred thirteen million, six hundred thirty-two thousand, one hundred".