108164947968 has 1120 divisors, whose sum is σ = 422476940160. Its totient is φ = 26754416640.

The previous prime is 108164947967. The next prime is 108164947973. The reversal of 108164947968 is 869749461801.

108164947968 is a `hidden beast` number, since 1 + 0 + 8 + 16 + 494 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (108164947963) 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 79 ways as a sum of consecutive naturals, for example, 1481711580 + ... + 1481711652.

Almost surely, 2^108164947968 is an apocalyptic number.

108164947968 is a gapful number since it is divisible by the number (18) 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 108164947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211238470080).

108164947968 is an abundant number, since it is smaller than the sum of its proper divisors (314311992192).

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

108164947968 is an equidigital number, since it uses as much as digits as its factorization.

108164947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 108164947968 in words is "one hundred eight billion, one hundred sixty-four million, nine hundred forty-seven thousand, nine hundred sixty-eight".