113264100 has 108 divisors (see below), whose sum is σ = 357037044. Its totient is φ = 30032640.

The previous prime is 113264093. The next prime is 113264113. The reversal of 113264100 is 1462311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 101485476 = 3432^2 + 10074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 285102 + ... + 285498.

Almost surely, 2^113264100 is an apocalyptic number.

113264100 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 113264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178518522).

113264100 is an abundant number, since it is smaller than the sum of its proper divisors (243772944).

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

113264100 is a wasteful number, since it uses less digits than its factorization.

113264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113264100 is about 10642.5607820674. The cubic root of 113264100 is about 483.8351611783.

The spelling of 113264100 in words is "one hundred thirteen million, two hundred sixty-four thousand, one hundred".