102693680089856 has 72 divisors (see below), whose sum is σ = 217051443715680. Its totient is φ = 48324830511104.

The previous prime is 102693680089849. The next prime is 102693680089859. The reversal of 102693680089856 is 658980086396201.

It is a self number, because there is not a number n which added to its sum of digits gives 102693680089856.

It is not an unprimeable number, because it can be changed into a prime (102693680089859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135923570 + ... + 136677006.

It is an arithmetic number, because the mean of its divisors is an integer number (3014603384940).

Almost surely, 2^{102693680089856} is an apocalyptic number.

102693680089856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102693680089856 is an abundant number, since it is smaller than the sum of its proper divisors (114357763625824).

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

102693680089856 is an equidigital number, since it uses as much as digits as its factorization.

102693680089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784789 (or 784775 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 71.

The spelling of 102693680089856 in words is "one hundred two trillion, six hundred ninety-three billion, six hundred eighty million, eighty-nine thousand, eight hundred fifty-six".