102559988160 has 896 divisors, whose sum is σ = 456960061440. Its totient is φ = 21099184128.

The previous prime is 102559988131. The next prime is 102559988173. The reversal of 102559988160 is 61889955201.

102559988160 is a `hidden beast` number, since 1 + 0 + 2 + 559 + 9 + 8 + 81 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102559988097 and 102559988106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23645512 + ... + 23649848.

Almost surely, 2^102559988160 is an apocalyptic number.

102559988160 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 102559988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480030720).

102559988160 is an abundant number, since it is smaller than the sum of its proper divisors (354400073280).

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

102559988160 is a wasteful number, since it uses less digits than its factorization.

102559988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 102559988160 in words is "one hundred two billion, five hundred fifty-nine million, nine hundred eighty-eight thousand, one hundred sixty".