112979600 has 90 divisors (see below), whose sum is σ = 281444226. Its totient is φ = 43558400.

The previous prime is 112979597. The next prime is 112979627. The reversal of 112979600 is 6979211.

It can be written as a sum of positive squares in 3 ways, for example, as 110224 + 112869376 = 332^2 + 10624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1361159 + ... + 1361241.

Almost surely, 2^112979600 is an apocalyptic number.

112979600 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 112979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140722113).

112979600 is an abundant number, since it is smaller than the sum of its proper divisors (168464626).

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

112979600 is an equidigital number, since it uses as much as digits as its factorization.

112979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 35.

The square root of 112979600 is about 10629.1862341385. The cubic root of 112979600 is about 483.4297178636.

The spelling of 112979600 in words is "one hundred twelve million, nine hundred seventy-nine thousand, six hundred".