108164160 has 336 divisors, whose sum is σ = 419380416. Its totient is φ = 26376192.

The previous prime is 108164141. The next prime is 108164167. The reversal of 108164160 is 61461801.

108164160 is a `hidden beast` number, since 10 + 8 + 1 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (108164167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010827 + ... + 1010933.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^108164160 is an apocalyptic number.

108164160 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 108164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

108164160 is an abundant number, since it is smaller than the sum of its proper divisors (311216256).

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

108164160 is a wasteful number, since it uses less digits than its factorization.

108164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 108164160 is about 10400.1999980770. The cubic root of 108164160 is about 476.4614784024.

The spelling of 108164160 in words is "one hundred eight million, one hundred sixty-four thousand, one hundred sixty".