102056988816 has 120 divisors (see below), whose sum is σ = 300911975520. Its totient is φ = 32200478208.

The previous prime is 102056988791. The next prime is 102056988833. The reversal of 102056988816 is 618889650201.

It is a happy number.

It is an unprimeable number.

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, 3248415 + ... + 3279681.

It is an arithmetic number, because the mean of its divisors is an integer number (2507599796).

Almost surely, 2^102056988816 is an apocalyptic number.

102056988816 is a gapful number since it is divisible by the number (16) 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 102056988816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150455987760).

102056988816 is an abundant number, since it is smaller than the sum of its proper divisors (198854986704).

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

102056988816 is a wasteful number, since it uses less digits than its factorization.

102056988816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32493 (or 32484 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 102056988816 in words is "one hundred two billion, fifty-six million, nine hundred eighty-eight thousand, eight hundred sixteen".