108160000 has 165 divisors, whose sum is σ = 292563381. Its totient is φ = 39936000.

The previous prime is 108159979. The next prime is 108160037. The reversal of 108160000 is 61801.

The square root of 108160000 is 10400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 106832896 + 1327104 = 10336^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8319994 + ... + 8320006.

Almost surely, 2^108160000 is an apocalyptic number.

108160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108160000 is the 10400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108160000

108160000 is an abundant number, since it is smaller than the sum of its proper divisors (184403381).

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

108160000 is an frugal number, since it uses more digits than its factorization.

108160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 108160000 is about 476.4553700786.

Multiplying 108160000 by its sum of digits (16), we get a square (1730560000 = 41600²).

108160000 divided by its sum of digits (16) gives a square (6760000 = 2600²).

The spelling of 108160000 in words is "one hundred eight million, one hundred sixty thousand".