108009984 has 80 divisors (see below), whose sum is σ = 302971680. Its totient is φ = 34099200.

The previous prime is 108009977. The next prime is 108010013. The reversal of 108009984 is 489900801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27334 + ... + 31034.

It is an arithmetic number, because the mean of its divisors is an integer number (3787146).

Almost surely, 2^108009984 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 108009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151485840).

108009984 is an abundant number, since it is smaller than the sum of its proper divisors (194961696).

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

108009984 is an equidigital number, since it uses as much as digits as its factorization.

108009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 108009984 is about 10392.7851897362. The cubic root of 108009984 is about 476.2349897791.

The spelling of 108009984 in words is "one hundred eight million, nine thousand, nine hundred eighty-four".