102857957 has 2 divisors, whose sum is σ = 102857958. Its totient is φ = 102857956.

The previous prime is 102857929. The next prime is 102857981. The reversal of 102857957 is 759758201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69322276 + 33535681 = 8326^2 + 5791^2 .

It is a cyclic number.

It is not a de Polignac number, because 102857957 - 2¹⁴ = 102841573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102857917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51428978 + 51428979.

It is an arithmetic number, because the mean of its divisors is an integer number (51428979).

Almost surely, 2^102857957 is an apocalyptic number.

It is an amenable number.

102857957 is a deficient number, since it is larger than the sum of its proper divisors (1).

102857957 is an equidigital number, since it uses as much as digits as its factorization.

102857957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 176400, while the sum is 44.

The square root of 102857957 is about 10141.8911944469. The cubic root of 102857957 is about 468.5392355710.

It can be divided in two parts, 1028 and 57957, that added together give a palindrome (58985).

The spelling of 102857957 in words is "one hundred two million, eight hundred fifty-seven thousand, nine hundred fifty-seven".