113796900 has 252 divisors, whose sum is σ = 425028352. Its totient is φ = 25894080.

The previous prime is 113796869. The next prime is 113796911. The reversal of 113796900 is 9697311.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×113796900² = 25899468899220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 510189 + ... + 510411.

Almost surely, 2^113796900 is an apocalyptic number.

113796900 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 113796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212514176).

113796900 is an abundant number, since it is smaller than the sum of its proper divisors (311231452).

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

113796900 is a wasteful number, since it uses less digits than its factorization.

113796900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 113796900 is about 10667.5629831747. The cubic root of 113796900 is about 484.5926362948.

The spelling of 113796900 in words is "one hundred thirteen million, seven hundred ninety-six thousand, nine hundred".