108084 has 12 divisors (see below), whose sum is σ = 252224. Its totient is φ = 36024.

The previous prime is 108079. The next prime is 108089. The reversal of 108084 is 480801.

It is an interprime number because it is at equal distance from previous prime (108079) and next prime (108089).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 108084.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108084.

It is not an unprimeable number, because it can be changed into a prime (108089) by changing a digit.

108084 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, 4492 + ... + 4515.

2¹⁰⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

108084 is an abundant number, since it is smaller than the sum of its proper divisors (144140).

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

108084 is a wasteful number, since it uses less digits than its factorization.

108084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9014 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 108084 is about 328.7613115925. The cubic root of 108084 is about 47.6343748121.

Adding to 108084 its reverse (480801), we get a palindrome (588885).

The spelling of 108084 in words is "one hundred eight thousand, eighty-four".