100852897657 has 2 divisors, whose sum is σ = 100852897658. Its totient is φ = 100852897656.

The previous prime is 100852897619. The next prime is 100852897669. The reversal of 100852897657 is 756798258001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94975528761 + 5877368896 = 308181^2 + 76664^2 .

It is a cyclic number.

It is not a de Polignac number, because 100852897657 - 2³¹ = 98705414009 is a prime.

It is not a weakly prime, because it can be changed into another prime (100852897687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50426448828 + 50426448829.

It is an arithmetic number, because the mean of its divisors is an integer number (50426448829).

Almost surely, 2^100852897657 is an apocalyptic number.

It is an amenable number.

100852897657 is a deficient number, since it is larger than the sum of its proper divisors (1).

100852897657 is an equidigital number, since it uses as much as digits as its factorization.

100852897657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8467200, while the sum is 58.

The spelling of 100852897657 in words is "one hundred billion, eight hundred fifty-two million, eight hundred ninety-seven thousand, six hundred fifty-seven".