108164320 has 144 divisors (see below), whose sum is σ = 290382624. Its totient is φ = 38016000.

The previous prime is 108164299. The next prime is 108164323. The reversal of 108164320 is 23461801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108164323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716245 + ... + 716395.

It is an arithmetic number, because the mean of its divisors is an integer number (2016546).

Almost surely, 2^108164320 is an apocalyptic number.

108164320 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 108164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145191312).

108164320 is an abundant number, since it is smaller than the sum of its proper divisors (182218304).

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

108164320 is a wasteful number, since it uses less digits than its factorization.

108164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 108164320 is about 10400.2076902339. The cubic root of 108164320 is about 476.4617133348.

The spelling of 108164320 in words is "one hundred eight million, one hundred sixty-four thousand, three hundred twenty".