112634112 has 72 divisors (see below), whose sum is σ = 317441376. Its totient is φ = 35332096.

The previous prime is 112634111. The next prime is 112634149. The reversal of 112634112 is 211436211.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112634111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8743 + ... + 17369.

It is an arithmetic number, because the mean of its divisors is an integer number (4408908).

Almost surely, 2^112634112 is an apocalyptic number.

112634112 is a gapful number since it is divisible by the number (12) 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 112634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158720688).

112634112 is an abundant number, since it is smaller than the sum of its proper divisors (204807264).

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

112634112 is an equidigital number, since it uses as much as digits as its factorization.

112634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8649 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 112634112 is about 10612.9219350752. The cubic root of 112634112 is about 482.9364438489.

The spelling of 112634112 in words is "one hundred twelve million, six hundred thirty-four thousand, one hundred twelve".