113288100 has 72 divisors (see below), whose sum is σ = 331541280. Its totient is φ = 29863680.

The previous prime is 113288093. The next prime is 113288141. The reversal of 113288100 is 1882311.

It is a super-2 number, since 2×113288100² = 25668387203220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 24579 + ... + 28821.

It is an arithmetic number, because the mean of its divisors is an integer number (4604740).

Almost surely, 2^113288100 is an apocalyptic number.

113288100 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 113288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165770640).

113288100 is an abundant number, since it is smaller than the sum of its proper divisors (218253180).

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

113288100 is a wasteful number, since it uses less digits than its factorization.

113288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 113288100 is about 10643.6882705198. The cubic root of 113288100 is about 483.8693327113.

The spelling of 113288100 in words is "one hundred thirteen million, two hundred eighty-eight thousand, one hundred".