108985984 has 32 divisors (see below), whose sum is σ = 218083140. Its totient is φ = 54251520.

The previous prime is 108985949. The next prime is 108985991. The reversal of 108985984 is 489589801.

It can be written as a sum of positive squares in 2 ways, for example, as 99201600 + 9784384 = 9960^2 + 3128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29082 + ... + 32614.

Almost surely, 2^108985984 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 108985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109041570).

108985984 is an abundant number, since it is smaller than the sum of its proper divisors (109097156).

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

108985984 is an equidigital number, since it uses as much as digits as its factorization.

108985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The square root of 108985984 is about 10439.6352426701. The cubic root of 108985984 is about 477.6651424808.

The spelling of 108985984 in words is "one hundred eight million, nine hundred eighty-five thousand, nine hundred eighty-four".