102682838608896 has 704 divisors, whose sum is σ = 355531973350400. Its totient is φ = 25586586353664.

The previous prime is 102682838608817. The next prime is 102682838608907. The reversal of 102682838608896 is 698806838286201.

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, 1981159110 + ... + 1981210938.

It is an arithmetic number, because the mean of its divisors is an integer number (505017007600).

Almost surely, 2^{102682838608896} is an apocalyptic number.

102682838608896 is a gapful number since it is divisible by the number (16) 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 102682838608896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177765986675200).

102682838608896 is an abundant number, since it is smaller than the sum of its proper divisors (252849134741504).

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

102682838608896 is a wasteful number, since it uses less digits than its factorization.

102682838608896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52264 (or 52246 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 75.

The spelling of 102682838608896 in words is "one hundred two trillion, six hundred eighty-two billion, eight hundred thirty-eight million, six hundred eight thousand, eight hundred ninety-six".