100268348768 has 36 divisors (see below), whose sum is σ = 229632427332. Its totient is φ = 42972148800.

The previous prime is 100268348759. The next prime is 100268348809. The reversal of 100268348768 is 867843862001.

It is a super-2 number, since 2×100268348768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31971758 + ... + 31974893.

It is an arithmetic number, because the mean of its divisors is an integer number (6378678537).

Almost surely, 2^100268348768 is an apocalyptic number.

It is an amenable number.

100268348768 is an abundant number, since it is smaller than the sum of its proper divisors (129364078564).

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

100268348768 is an equidigital number, since it uses as much as digits as its factorization.

100268348768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63946675 (or 63946660 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 100268348768 in words is "one hundred billion, two hundred sixty-eight million, three hundred forty-eight thousand, seven hundred sixty-eight".