112774400 has 108 divisors (see below), whose sum is σ = 284377632. Its totient is φ = 44267520.

The previous prime is 112774399. The next prime is 112774411. The reversal of 112774400 is 4477211.

It is a self number, because there is not a number n which added to its sum of digits gives 112774400.

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 11 ways as a sum of consecutive naturals, for example, 428669 + ... + 428931.

Almost surely, 2^112774400 is an apocalyptic number.

112774400 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 112774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142188816).

112774400 is an abundant number, since it is smaller than the sum of its proper divisors (171603232).

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

112774400 is an equidigital number, since it uses as much as digits as its factorization.

112774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 112774400 is about 10619.5291797706. The cubic root of 112774400 is about 483.1368629405.

The spelling of 112774400 in words is "one hundred twelve million, seven hundred seventy-four thousand, four hundred".