108892 has 12 divisors (see below), whose sum is σ = 217840. Its totient is φ = 46656.

The previous prime is 108887. The next prime is 108893. The reversal of 108892 is 298801.

108892 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3889 = 108892 / (1 + 0 + 8 + 8 + 9 + 2).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 108892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108893) by changing a digit.

108892 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, 1917 + ... + 1972.

2¹⁰⁸⁸⁹² is an apocalyptic number.

It is an amenable number.

108892 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

108892 is a wasteful number, since it uses less digits than its factorization.

108892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 108892 is about 329.9878785653. The cubic root of 108892 is about 47.7527798241.

It can be divided in two parts, 108 and 892, that added together give a cube (1000 = 10³).

The spelling of 108892 in words is "one hundred eight thousand, eight hundred ninety-two".