108984 has 32 divisors (see below), whose sum is σ = 288000. Its totient is φ = 34272.

The previous prime is 108971. The next prime is 108991. The reversal of 108984 is 489801.

It is a happy number.

It is a plaindrome in base 15.

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 108984.

It is an unprimeable number.

108984 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 7 ways as a sum of consecutive naturals, for example, 337 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2¹⁰⁸⁹⁸⁴ 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 108984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000).

108984 is an abundant number, since it is smaller than the sum of its proper divisors (179016).

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

108984 is a wasteful number, since it uses less digits than its factorization.

108984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 108984 is about 330.1272481938. The cubic root of 108984 is about 47.7662243963.

The spelling of 108984 in words is "one hundred eight thousand, nine hundred eighty-four".