100902739378656 has 768 divisors, whose sum is σ = 294918062745600. Its totient is φ = 30075213053952.

The previous prime is 100902739378601. The next prime is 100902739378663. The reversal of 100902739378656 is 656873937209001.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 200601867301 + ... + 200601867803.

It is an arithmetic number, because the mean of its divisors is an integer number (384007894200).

Almost surely, 2^{100902739378656} is an apocalyptic number.

100902739378656 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 100902739378656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459031372800).

100902739378656 is an abundant number, since it is smaller than the sum of its proper divisors (194015323366944).

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

100902739378656 is a wasteful number, since it uses less digits than its factorization.

100902739378656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 66.

The spelling of 100902739378656 in words is "one hundred trillion, nine hundred two billion, seven hundred thirty-nine million, three hundred seventy-eight thousand, six hundred fifty-six".