113876900 has 72 divisors (see below), whose sum is σ = 257108544. Its totient is φ = 43747200.

The previous prime is 113876869. The next prime is 113876921. The reversal of 113876900 is 9678311.

It is a super-2 number, since 2×113876900² = 25935896707220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305114 + ... + 305486.

It is an arithmetic number, because the mean of its divisors is an integer number (3570952).

Almost surely, 2^113876900 is an apocalyptic number.

113876900 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 113876900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554272).

113876900 is an abundant number, since it is smaller than the sum of its proper divisors (143231644).

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

113876900 is a wasteful number, since it uses less digits than its factorization.

113876900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 113876900 is about 10671.3120093079. The cubic root of 113876900 is about 484.7061670087.

The spelling of 113876900 in words is "one hundred thirteen million, eight hundred seventy-six thousand, nine hundred".