102709535880 has 256 divisors, whose sum is σ = 358860902400. Its totient is φ = 23033134080.

The previous prime is 102709535861. The next prime is 102709535891. The reversal of 102709535880 is 88535907201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9425235 + ... + 9436125.

It is an arithmetic number, because the mean of its divisors is an integer number (1401800400).

Almost surely, 2^102709535880 is an apocalyptic number.

102709535880 is a gapful number since it is divisible by the number (10) 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 102709535880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179430451200).

102709535880 is an abundant number, since it is smaller than the sum of its proper divisors (256151366520).

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

102709535880 is a wasteful number, since it uses less digits than its factorization.

102709535880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 102709535880 in words is "one hundred two billion, seven hundred nine million, five hundred thirty-five thousand, eight hundred eighty".