102911938560 has 728 divisors, whose sum is σ = 379668773304. Its totient is φ = 26754416640.

The previous prime is 102911938541. The next prime is 102911938583. The reversal of 102911938560 is 65839119201.

It can be written as a sum of positive squares in 4 ways, for example, as 9364045824 + 93547892736 = 96768^2 + 305856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 910725064 + ... + 910725176.

Almost surely, 2^102911938560 is an apocalyptic number.

102911938560 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 102911938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189834386652).

102911938560 is an abundant number, since it is smaller than the sum of its proper divisors (276756834744).

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

102911938560 is an frugal number, since it uses more digits than its factorization.

102911938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 102911938560 in words is "one hundred two billion, nine hundred eleven million, nine hundred thirty-eight thousand, five hundred sixty".