112416900 has 72 divisors (see below), whose sum is σ = 330645504. Its totient is φ = 29481600.

The previous prime is 112416883. The next prime is 112416907. The reversal of 112416900 is 9614211.

It is a super-2 number, since 2×112416900² = 25275118811220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112416907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15229 + ... + 21371.

Almost surely, 2^112416900 is an apocalyptic number.

112416900 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 112416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

112416900 is an abundant number, since it is smaller than the sum of its proper divisors (218228604).

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

112416900 is a wasteful number, since it uses less digits than its factorization.

112416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 112416900 is about 10602.6836225552. The cubic root of 112416900 is about 482.6258005533.

The spelling of 112416900 in words is "one hundred twelve million, four hundred sixteen thousand, nine hundred".