102687061657 has 2 divisors, whose sum is σ = 102687061658. Its totient is φ = 102687061656.

The previous prime is 102687061583. The next prime is 102687061661. The reversal of 102687061657 is 756160786201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65320625241 + 37366436416 = 255579^2 + 193304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102687061657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102687061657.

It is not a weakly prime, because it can be changed into another prime (102687361657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51343530828 + 51343530829.

It is an arithmetic number, because the mean of its divisors is an integer number (51343530829).

Almost surely, 2^102687061657 is an apocalyptic number.

It is an amenable number.

102687061657 is a deficient number, since it is larger than the sum of its proper divisors (1).

102687061657 is an equidigital number, since it uses as much as digits as its factorization.

102687061657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 102687061657 in words is "one hundred two billion, six hundred eighty-seven million, sixty-one thousand, six hundred fifty-seven".