108916 has 12 divisors (see below), whose sum is σ = 193732. Its totient is φ = 53568.

The previous prime is 108907. The next prime is 108917. The reversal of 108916 is 619801.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 48400 = 246^2 + 220^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108917) by changing a digit.

108916 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, 106 + ... + 478.

2¹⁰⁸⁹¹⁶ is an apocalyptic number.

It is an amenable number.

108916 is a deficient number, since it is larger than the sum of its proper divisors (84816).

108916 is a wasteful number, since it uses less digits than its factorization.

108916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 108916 is about 330.0242415339. The cubic root of 108916 is about 47.7562878336.

It can be divided in two parts, 1089 and 16, that multiplied together give a square (17424 = 132²).

The spelling of 108916 in words is "one hundred eight thousand, nine hundred sixteen".