102079957788 has 144 divisors (see below), whose sum is σ = 267001862400. Its totient is φ = 32862931200.

The previous prime is 102079957769. The next prime is 102079957813. The reversal of 102079957788 is 887759970201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66674583 + ... + 66676113.

It is an arithmetic number, because the mean of its divisors is an integer number (1854179600).

Almost surely, 2^102079957788 is an apocalyptic number.

102079957788 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 102079957788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133500931200).

102079957788 is an abundant number, since it is smaller than the sum of its proper divisors (164921904612).

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

102079957788 is a wasteful number, since it uses less digits than its factorization.

102079957788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 102079957788 in words is "one hundred two billion, seventy-nine million, nine hundred fifty-seven thousand, seven hundred eighty-eight".