112635516 has 72 divisors (see below), whose sum is σ = 307453440. Its totient is φ = 31999968.

The previous prime is 112635499. The next prime is 112635529. The reversal of 112635516 is 615536211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130695 + ... + 131553.

Almost surely, 2^112635516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112635516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153726720).

112635516 is an abundant number, since it is smaller than the sum of its proper divisors (194817924).

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

112635516 is a wasteful number, since it uses less digits than its factorization.

112635516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1094 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 112635516 is about 10612.9880806491. The cubic root of 112635516 is about 482.9384504640.

It can be divided in two parts, 112 and 635516, that added together give a triangular number (635628 = T₁₁₂₇).

The spelling of 112635516 in words is "one hundred twelve million, six hundred thirty-five thousand, five hundred sixteen".