100164969757 has 2 divisors, whose sum is σ = 100164969758. Its totient is φ = 100164969756.

The previous prime is 100164969739. The next prime is 100164969761. The reversal of 100164969757 is 757969461001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83374252516 + 16790717241 = 288746^2 + 129579^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100164969757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100164969698 and 100164969707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100164969787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50082484878 + 50082484879.

It is an arithmetic number, because the mean of its divisors is an integer number (50082484879).

Almost surely, 2^100164969757 is an apocalyptic number.

It is an amenable number.

100164969757 is a deficient number, since it is larger than the sum of its proper divisors (1).

100164969757 is an equidigital number, since it uses as much as digits as its factorization.

100164969757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 100164969757 in words is "one hundred billion, one hundred sixty-four million, nine hundred sixty-nine thousand, seven hundred fifty-seven".