102557657 has 2 divisors, whose sum is σ = 102557658. Its totient is φ = 102557656.

The previous prime is 102557593. The next prime is 102557669. The reversal of 102557657 is 756755201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96510976 + 6046681 = 9824^2 + 2459^2 .

It is a cyclic number.

It is not a de Polignac number, because 102557657 - 2⁶ = 102557593 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102557657.

It is not a weakly prime, because it can be changed into another prime (102554657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51278828 + 51278829.

It is an arithmetic number, because the mean of its divisors is an integer number (51278829).

Almost surely, 2^102557657 is an apocalyptic number.

It is an amenable number.

102557657 is a deficient number, since it is larger than the sum of its proper divisors (1).

102557657 is an equidigital number, since it uses as much as digits as its factorization.

102557657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73500, while the sum is 38.

The square root of 102557657 is about 10127.0754416070. The cubic root of 102557657 is about 468.0828149280.

The spelling of 102557657 in words is "one hundred two million, five hundred fifty-seven thousand, six hundred fifty-seven".