112926800 has 120 divisors (see below), whose sum is σ = 320312832. Its totient is φ = 37440000.

The previous prime is 112926791. The next prime is 112926829. The reversal of 112926800 is 8629211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86150 + ... + 87450.

Almost surely, 2^112926800 is an apocalyptic number.

112926800 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 112926800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160156416).

112926800 is an abundant number, since it is smaller than the sum of its proper divisors (207386032).

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

112926800 is a wasteful number, since it uses less digits than its factorization.

112926800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 112926800 is about 10626.7022165863. The cubic root of 112926800 is about 483.3543972852.

The spelling of 112926800 in words is "one hundred twelve million, nine hundred twenty-six thousand, eight hundred".