112716900 has 144 divisors (see below), whose sum is σ = 366643200. Its totient is φ = 29704320.

The previous prime is 112716883. The next prime is 112716943. The reversal of 112716900 is 9617211.

It is a super-2 number, since 2×112716900² = 25410199091220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 294109 + ... + 294491.

Almost surely, 2^112716900 is an apocalyptic number.

112716900 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 112716900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183321600).

112716900 is an abundant number, since it is smaller than the sum of its proper divisors (253926300).

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

112716900 is a wasteful number, since it uses less digits than its factorization.

112716900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 112716900 is about 10616.8215582631. The cubic root of 112716900 is about 483.0547370549.

The spelling of 112716900 in words is "one hundred twelve million, seven hundred sixteen thousand, nine hundred".