108014971392 has 320 divisors, whose sum is σ = 334881423360. Its totient is φ = 34310909952.

The previous prime is 108014971391. The next prime is 108014971409. The reversal of 108014971392 is 293179410801.

It is not an unprimeable number, because it can be changed into a prime (108014971391) 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 31 ways as a sum of consecutive naturals, for example, 121775173 + ... + 121776059.

It is an arithmetic number, because the mean of its divisors is an integer number (1046504448).

Almost surely, 2^108014971392 is an apocalyptic number.

108014971392 is a gapful number since it is divisible by the number (12) 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 108014971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167440711680).

108014971392 is an abundant number, since it is smaller than the sum of its proper divisors (226866451968).

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

108014971392 is an equidigital number, since it uses as much as digits as its factorization.

108014971392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 108014971392 in words is "one hundred eight billion, fourteen million, nine hundred seventy-one thousand, three hundred ninety-two".