100757806401 has 16 divisors (see below), whose sum is σ = 153626447744. Its totient is φ = 57541860864.

The previous prime is 100757806381. The next prime is 100757806433. The reversal of 100757806401 is 104608757001.

It is not a de Polignac number, because 100757806401 - 2¹⁸ = 100757544257 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100757806401.

It is not an unprimeable number, because it can be changed into a prime (100757806441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381456 + ... + 1452561.

It is an arithmetic number, because the mean of its divisors is an integer number (9601652984).

Almost surely, 2^100757806401 is an apocalyptic number.

It is an amenable number.

100757806401 is a deficient number, since it is larger than the sum of its proper divisors (52868641343).

100757806401 is a wasteful number, since it uses less digits than its factorization.

100757806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835720.

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 100757806401 in words is "one hundred billion, seven hundred fifty-seven million, eight hundred six thousand, four hundred one".