100052857 has 2 divisors, whose sum is σ = 100052858. Its totient is φ = 100052856.

The previous prime is 100052819. The next prime is 100052863. The reversal of 100052857 is 758250001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69405561 + 30647296 = 8331^2 + 5536^2 .

It is a cyclic number.

It is not a de Polignac number, because 100052857 - 2²³ = 91664249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100052657) 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, 50026428 + 50026429.

It is an arithmetic number, because the mean of its divisors is an integer number (50026429).

Almost surely, 2^100052857 is an apocalyptic number.

It is an amenable number.

100052857 is a deficient number, since it is larger than the sum of its proper divisors (1).

100052857 is an equidigital number, since it uses as much as digits as its factorization.

100052857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 100052857 is about 10002.6425008595. The cubic root of 100052857 is about 464.2406491103.

The spelling of 100052857 in words is "one hundred million, fifty-two thousand, eight hundred fifty-seven".