100109998957 has 2 divisors, whose sum is σ = 100109998958. Its totient is φ = 100109998956.

The previous prime is 100109998943. The next prime is 100109998987. The reversal of 100109998957 is 759899901001.

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., 100087445956 + 22553001 = 316366^2 + 4749^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100109998957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100109998987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50054999478 + 50054999479.

It is an arithmetic number, because the mean of its divisors is an integer number (50054999479).

Almost surely, 2^100109998957 is an apocalyptic number.

It is an amenable number.

100109998957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100109998957 is an equidigital number, since it uses as much as digits as its factorization.

100109998957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1837080, while the sum is 58.

The spelling of 100109998957 in words is "one hundred billion, one hundred nine million, nine hundred ninety-eight thousand, nine hundred fifty-seven".