112056 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 29568.

The previous prime is 112031. The next prime is 112061. The reversal of 112056 is 650211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3850 + ... + 3878.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2¹¹²⁰⁵⁶ 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 112056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

112056 is an abundant number, since it is smaller than the sum of its proper divisors (233544).

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

112056 is a wasteful number, since it uses less digits than its factorization.

112056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112056 is about 334.7476661606. The cubic root of 112056 is about 48.2108777525.

Adding to 112056 its reverse (650211), we get a palindrome (762267).

It can be divided in two parts, 11205 and 6, that added together give a palindrome (11211).

The spelling of 112056 in words is "one hundred twelve thousand, fifty-six".