108972147312 has 400 divisors, whose sum is σ = 370279514880. Its totient is φ = 30292061184.

The previous prime is 108972147301. The next prime is 108972147331. The reversal of 108972147312 is 213741279801.

108972147312 is a `hidden beast` number, since 108 + 9 + 72 + 1 + 473 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 159548923 + ... + 159549605.

Almost surely, 2^108972147312 is an apocalyptic number.

108972147312 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 108972147312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185139757440).

108972147312 is an abundant number, since it is smaller than the sum of its proper divisors (261307367568).

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

108972147312 is a wasteful number, since it uses less digits than its factorization.

108972147312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 108972147312 in words is "one hundred eight billion, nine hundred seventy-two million, one hundred forty-seven thousand, three hundred twelve".