102707477892096 has 352 divisors, whose sum is σ = 341409824501760. Its totient is φ = 26668861440000.

The previous prime is 102707477892053. The next prime is 102707477892139. The reversal of 102707477892096 is 690298774707201.

It is an interprime number because it is at equal distance from previous prime (102707477892053) and next prime (102707477892139).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102707477892096.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768937765 + ... + 769071323.

Almost surely, 2^{102707477892096} is an apocalyptic number.

102707477892096 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 102707477892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170704912250880).

102707477892096 is an abundant number, since it is smaller than the sum of its proper divisors (238702346609664).

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

102707477892096 is a wasteful number, since it uses less digits than its factorization.

102707477892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136851 (or 136833 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 69.

The spelling of 102707477892096 in words is "one hundred two trillion, seven hundred seven billion, four hundred seventy-seven million, eight hundred ninety-two thousand, ninety-six".