105127750766693 has 2 divisors, whose sum is σ = 105127750766694. Its totient is φ = 105127750766692.

The previous prime is 105127750766683. The next prime is 105127750766711. The reversal of 105127750766693 is 396667057721501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58482374980129 + 46645375786564 = 7647377^2 + 6829742^2 .

It is a cyclic number.

It is not a de Polignac number, because 105127750766693 - 2⁶ = 105127750766629 is a prime.

It is a super-2 number, since 2×105127750766693² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105127750766683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52563875383346 + 52563875383347.

It is an arithmetic number, because the mean of its divisors is an integer number (52563875383347).

Almost surely, 2^{105127750766693} is an apocalyptic number.

It is an amenable number.

105127750766693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105127750766693 is an equidigital number, since it uses as much as digits as its factorization.

105127750766693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100018800, while the sum is 65.

The spelling of 105127750766693 in words is "one hundred five trillion, one hundred twenty-seven billion, seven hundred fifty million, seven hundred sixty-six thousand, six hundred ninety-three".