108071976012 has 288 divisors, whose sum is σ = 341292833280. Its totient is φ = 25846179840.

The previous prime is 108071975993. The next prime is 108071976049. The reversal of 108071976012 is 210679170801.

108071976012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 95723064 + ... + 95724192.

It is an arithmetic number, because the mean of its divisors is an integer number (1185044560).

Almost surely, 2^108071976012 is an apocalyptic number.

108071976012 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 108071976012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170646416640).

108071976012 is an abundant number, since it is smaller than the sum of its proper divisors (233220857268).

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

108071976012 is a wasteful number, since it uses less digits than its factorization.

108071976012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 108071976012 in words is "one hundred eight billion, seventy-one million, nine hundred seventy-six thousand, twelve".