102879040896 has 320 divisors, whose sum is σ = 328781993760. Its totient is φ = 31817318400.

The previous prime is 102879040877. The next prime is 102879040919. The reversal of 102879040896 is 698040978201.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12510066 + ... + 12518286.

Almost surely, 2^102879040896 is an apocalyptic number.

102879040896 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 102879040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164390996880).

102879040896 is an abundant number, since it is smaller than the sum of its proper divisors (225902952864).

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

102879040896 is an equidigital number, since it uses as much as digits as its factorization.

102879040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 102879040896 in words is "one hundred two billion, eight hundred seventy-nine million, forty thousand, eight hundred ninety-six".