108112 has 20 divisors (see below), whose sum is σ = 217620. Its totient is φ = 51968.

The previous prime is 108109. The next prime is 108127. The reversal of 108112 is 211801.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 69696 = 196^2 + 264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108092 and 108101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 580.

It is an arithmetic number, because the mean of its divisors is an integer number (10881).

2¹⁰⁸¹¹² 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 108112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810).

108112 is an abundant number, since it is smaller than the sum of its proper divisors (109508).

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

108112 is a wasteful number, since it uses less digits than its factorization.

108112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 108112 is about 328.8038929210. The cubic root of 108112 is about 47.6384878086.

Adding to 108112 its reverse (211801), we get a palindrome (319913).

The spelling of 108112 in words is "one hundred eight thousand, one hundred twelve".