112410880 has 72 divisors (see below), whose sum is σ = 274505112. Its totient is φ = 44089344.

The previous prime is 112410877. The next prime is 112410911. The reversal of 112410880 is 88014211.

It can be written as a sum of positive squares in 4 ways, for example, as 12730624 + 99680256 = 3568^2 + 9984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67012 + ... + 68668.

It is an arithmetic number, because the mean of its divisors is an integer number (3812571).

Almost surely, 2^112410880 is an apocalyptic number.

112410880 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 112410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137252556).

112410880 is an abundant number, since it is smaller than the sum of its proper divisors (162094232).

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

112410880 is an equidigital number, since it uses as much as digits as its factorization.

112410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 112410880 is about 10602.3997283634. The cubic root of 112410880 is about 482.6171854217.

The spelling of 112410880 in words is "one hundred twelve million, four hundred ten thousand, eight hundred eighty".