100105798957 has 2 divisors, whose sum is σ = 100105798958. Its totient is φ = 100105798956.

The previous prime is 100105798937. The next prime is 100105798993. The reversal of 100105798957 is 759897501001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79662804516 + 20442994441 = 282246^2 + 142979^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105798957 - 2⁷ = 100105798829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105798937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052899478 + 50052899479.

It is an arithmetic number, because the mean of its divisors is an integer number (50052899479).

Almost surely, 2^100105798957 is an apocalyptic number.

It is an amenable number.

100105798957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105798957 is an equidigital number, since it uses as much as digits as its factorization.

100105798957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 52.

The spelling of 100105798957 in words is "one hundred billion, one hundred five million, seven hundred ninety-eight thousand, nine hundred fifty-seven".