102102862985760 has 1536 divisors, whose sum is σ = 408680294787072. Its totient is φ = 20853156741120.

The previous prime is 102102862985759. The next prime is 102102862985933. The reversal of 102102862985760 is 67589268201201.

It is a self number, because there is not a number n which added to its sum of digits gives 102102862985760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 235803378504 + ... + 235803378936.

It is an arithmetic number, because the mean of its divisors is an integer number (266067900252).

Almost surely, 2^{102102862985760} is an apocalyptic number.

102102862985760 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 102102862985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204340147393536).

102102862985760 is an abundant number, since it is smaller than the sum of its proper divisors (306577431801312).

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

102102862985760 is a wasteful number, since it uses less digits than its factorization.

102102862985760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 102102862985760 in words is "one hundred two trillion, one hundred two billion, eight hundred sixty-two million, nine hundred eighty-five thousand, seven hundred sixty".