108984000 has 224 divisors, whose sum is σ = 380390400. Its totient is φ = 27417600.

The previous prime is 108983969. The next prime is 108984017. The reversal of 108984000 is 489801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455881 + ... + 456119.

Almost surely, 2^108984000 is an apocalyptic number.

108984000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

108984000 is an abundant number, since it is smaller than the sum of its proper divisors (271406400).

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

108984000 is a wasteful number, since it uses less digits than its factorization.

108984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

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

The square root of 108984000 is about 10439.5402197606. The cubic root of 108984000 is about 477.6622439632.

The spelling of 108984000 in words is "one hundred eight million, nine hundred eighty-four thousand".