102507857 has 2 divisors, whose sum is σ = 102507858. Its totient is φ = 102507856.

The previous prime is 102507827. The next prime is 102507859. The reversal of 102507857 is 758705201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101525776 + 982081 = 10076^2 + 991^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102507857 is a prime.

Together with 102507859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102507859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51253928 + 51253929.

It is an arithmetic number, because the mean of its divisors is an integer number (51253929).

Almost surely, 2^102507857 is an apocalyptic number.

It is an amenable number.

102507857 is a deficient number, since it is larger than the sum of its proper divisors (1).

102507857 is an equidigital number, since it uses as much as digits as its factorization.

102507857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 102507857 is about 10124.6163877947. The cubic root of 102507857 is about 468.0070386966.

The spelling of 102507857 in words is "one hundred two million, five hundred seven thousand, eight hundred fifty-seven".