100106812957 has 2 divisors, whose sum is σ = 100106812958. Its totient is φ = 100106812956.

The previous prime is 100106812907. The next prime is 100106812991. The reversal of 100106812957 is 759218601001.

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., 100101999321 + 4813636 = 316389^2 + 2194^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100106812957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100106812907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053406478 + 50053406479.

It is an arithmetic number, because the mean of its divisors is an integer number (50053406479).

Almost surely, 2^100106812957 is an apocalyptic number.

It is an amenable number.

100106812957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106812957 is an equidigital number, since it uses as much as digits as its factorization.

100106812957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 40.

The spelling of 100106812957 in words is "one hundred billion, one hundred six million, eight hundred twelve thousand, nine hundred fifty-seven".