102799988928 has 672 divisors, whose sum is σ = 384072579072. Its totient is φ = 25546752000.

The previous prime is 102799988917. The next prime is 102799988933. The reversal of 102799988928 is 829889997201.

102799988928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85594728 + ... + 85595928.

It is an arithmetic number, because the mean of its divisors is an integer number (571536576).

Almost surely, 2^102799988928 is an apocalyptic number.

102799988928 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 102799988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192036289536).

102799988928 is an abundant number, since it is smaller than the sum of its proper divisors (281272590144).

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

102799988928 is a wasteful number, since it uses less digits than its factorization.

102799988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 102799988928 in words is "one hundred two billion, seven hundred ninety-nine million, nine hundred eighty-eight thousand, nine hundred twenty-eight".