102289920768 has 252 divisors, whose sum is σ = 349867743568. Its totient is φ = 29225318400.

The previous prime is 102289920751. The next prime is 102289920773. The reversal of 102289920768 is 867029982201.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1267218 + ... + 1345518.

Almost surely, 2^102289920768 is an apocalyptic number.

102289920768 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 102289920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174933871784).

102289920768 is an abundant number, since it is smaller than the sum of its proper divisors (247577822800).

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

102289920768 is an frugal number, since it uses more digits than its factorization.

102289920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78342 (or 78313 counting only the distinct ones).

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

The spelling of 102289920768 in words is "one hundred two billion, two hundred eighty-nine million, nine hundred twenty thousand, seven hundred sixty-eight".