106061665657 has 2 divisors, whose sum is σ = 106061665658. Its totient is φ = 106061665656.

The previous prime is 106061665603. The next prime is 106061665663. The reversal of 106061665657 is 756566160601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63203971216 + 42857694441 = 251404^2 + 207021^2 .

It is a cyclic number.

It is not a de Polignac number, because 106061665657 - 2⁷ = 106061665529 is a prime.

It is a super-3 number, since 3×106061665657³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106061665657.

It is not a weakly prime, because it can be changed into another prime (106061665057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53030832828 + 53030832829.

It is an arithmetic number, because the mean of its divisors is an integer number (53030832829).

Almost surely, 2^106061665657 is an apocalyptic number.

It is an amenable number.

106061665657 is a deficient number, since it is larger than the sum of its proper divisors (1).

106061665657 is an equidigital number, since it uses as much as digits as its factorization.

106061665657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1360800, while the sum is 49.

The spelling of 106061665657 in words is "one hundred six billion, sixty-one million, six hundred sixty-five thousand, six hundred fifty-seven".