112816 has 20 divisors (see below), whose sum is σ = 238824. Its totient is φ = 51200.

The previous prime is 112807. The next prime is 112831. The reversal of 112816 is 618211.

It is a junction number, because it is equal to n+sod(n) for n = 112793 and 112802.

It is an unprimeable number.

112816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 496.

2¹¹²⁸¹⁶ is an apocalyptic number.

112816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112816 is an abundant number, since it is smaller than the sum of its proper divisors (126008).

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

112816 is a wasteful number, since it uses less digits than its factorization.

112816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 112816 is about 335.8809312837. The cubic root of 112816 is about 48.3196261831.

It can be divided in two parts, 11 and 2816, that multiplied together give a square (30976 = 176²).

The spelling of 112816 in words is "one hundred twelve thousand, eight hundred sixteen".