108516000 has 96 divisors (see below), whose sum is σ = 355537728. Its totient is φ = 28934400.

The previous prime is 108515993. The next prime is 108516017. The reversal of 108516000 is 615801.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7479 + ... + 16521.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518).

Almost surely, 2^108516000 is an apocalyptic number.

108516000 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 108516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

108516000 is an abundant number, since it is smaller than the sum of its proper divisors (247021728).

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

108516000 is an equidigital number, since it uses as much as digits as its factorization.

108516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 108516000 is about 10417.1013242648. The cubic root of 108516000 is about 476.9775358714.

The spelling of 108516000 in words is "one hundred eight million, five hundred sixteen thousand".