102768792064 has 80 divisors (see below), whose sum is σ = 211100551200. Its totient is φ = 49951088640.

The previous prime is 102768792059. The next prime is 102768792101. The reversal of 102768792064 is 460297867201.

It is a super-2 number, since 2×102768792064² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5932087 + ... + 5949385.

It is an arithmetic number, because the mean of its divisors is an integer number (2638756890).

Almost surely, 2^102768792064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102768792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105550275600).

102768792064 is an abundant number, since it is smaller than the sum of its proper divisors (108331759136).

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

102768792064 is an equidigital number, since it uses as much as digits as its factorization.

102768792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 102768792064 in words is "one hundred two billion, seven hundred sixty-eight million, seven hundred ninety-two thousand, sixty-four".