107737406666657 has 2 divisors, whose sum is σ = 107737406666658. Its totient is φ = 107737406666656.

The previous prime is 107737406666647. The next prime is 107737406666683. The reversal of 107737406666657 is 756666604737701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83642895631201 + 24094511035456 = 9145649^2 + 4908616^2 .

It is a cyclic number.

It is not a de Polignac number, because 107737406666657 - 2⁴ = 107737406666641 is a prime.

It is not a weakly prime, because it can be changed into another prime (107737406666647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53868703333328 + 53868703333329.

It is an arithmetic number, because the mean of its divisors is an integer number (53868703333329).

Almost surely, 2^{107737406666657} is an apocalyptic number.

It is an amenable number.

107737406666657 is a deficient number, since it is larger than the sum of its proper divisors (1).

107737406666657 is an equidigital number, since it uses as much as digits as its factorization.

107737406666657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120210560, while the sum is 71.

The spelling of 107737406666657 in words is "one hundred seven trillion, seven hundred thirty-seven billion, four hundred six million, six hundred sixty-six thousand, six hundred fifty-seven".