108312 has 16 divisors (see below), whose sum is σ = 270840. Its totient is φ = 36096.

The previous prime is 108301. The next prime is 108343. The reversal of 108312 is 213801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 108291 and 108300.

It is a congruent number.

It is an unprimeable number.

108312 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, 2233 + ... + 2280.

2¹⁰⁸³¹² is an apocalyptic number.

108312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108312 is an abundant number, since it is smaller than the sum of its proper divisors (162528).

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

108312 is a wasteful number, since it uses less digits than its factorization.

108312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 108312 is about 329.1078850468. The cubic root of 108312 is about 47.6678457226.

It can be divided in two parts, 1083 and 12, that multiplied together give a square (12996 = 114²).

The spelling of 108312 in words is "one hundred eight thousand, three hundred twelve".