112456900 has 72 divisors (see below), whose sum is σ = 253483776. Its totient is φ = 43276800.

The previous prime is 112456847. The next prime is 112456931. The reversal of 112456900 is 9654211.

It is a super-2 number, since 2×112456900² = 25293108715220000, which contains 22 as substring.

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, 333532 + ... + 333868.

It is an arithmetic number, because the mean of its divisors is an integer number (3520608).

Almost surely, 2^112456900 is an apocalyptic number.

112456900 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 112456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

112456900 is an abundant number, since it is smaller than the sum of its proper divisors (141026876).

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

112456900 is a wasteful number, since it uses less digits than its factorization.

112456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 112456900 is about 10604.5697696795. The cubic root of 112456900 is about 482.6830361433.

It can be divided in two parts, 11245 and 6900, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 112456900 in words is "one hundred twelve million, four hundred fifty-six thousand, nine hundred".