100457864917 has 2 divisors, whose sum is σ = 100457864918. Its totient is φ = 100457864916.

The previous prime is 100457864891. The next prime is 100457864921. The reversal of 100457864917 is 719468754001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94417311076 + 6040553841 = 307274^2 + 77721^2 .

It is a cyclic number.

It is not a de Polignac number, because 100457864917 - 2¹⁵ = 100457832149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100457814917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50228932458 + 50228932459.

It is an arithmetic number, because the mean of its divisors is an integer number (50228932459).

Almost surely, 2^100457864917 is an apocalyptic number.

It is an amenable number.

100457864917 is a deficient number, since it is larger than the sum of its proper divisors (1).

100457864917 is an equidigital number, since it uses as much as digits as its factorization.

100457864917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 100457864917 in words is "one hundred billion, four hundred fifty-seven million, eight hundred sixty-four thousand, nine hundred seventeen".