113906100 has 144 divisors (see below), whose sum is σ = 410973696. Its totient is φ = 23664000.

The previous prime is 113906099. The next prime is 113906119. The reversal of 113906100 is 1609311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20635 + ... + 25565.

It is an arithmetic number, because the mean of its divisors is an integer number (2853984).

Almost surely, 2^113906100 is an apocalyptic number.

113906100 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 113906100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205486848).

113906100 is an abundant number, since it is smaller than the sum of its proper divisors (297067596).

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

113906100 is a wasteful number, since it uses less digits than its factorization.

113906100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 113906100 is about 10672.6800757823. The cubic root of 113906100 is about 484.7475924734.

The spelling of 113906100 in words is "one hundred thirteen million, nine hundred six thousand, one hundred".