112518 has 48 divisors (see below), whose sum is σ = 299520. Its totient is φ = 29808.

The previous prime is 112507. The next prime is 112543. The reversal of 112518 is 815211.

It is a Harshad number since it is a multiple of its sum of digits (18).

112518 is a modest number, since divided by 518 gives 112 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112518.

It is a congruent number.

It is an unprimeable number.

112518 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 23 ways as a sum of consecutive naturals, for example, 2371 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2¹¹²⁵¹⁸ is an apocalyptic number.

112518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149760).

112518 is an abundant number, since it is smaller than the sum of its proper divisors (187002).

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

112518 is a wasteful number, since it uses less digits than its factorization.

112518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 78 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 112518 is about 335.4370283675. The cubic root of 112518 is about 48.2770437313.

Adding to 112518 its reverse (815211), we get a palindrome (927729).

It can be divided in two parts, 112 and 518, that added together give a triangular number (630 = T₃₅).

The spelling of 112518 in words is "one hundred twelve thousand, five hundred eighteen".