105579094967761 has 2 divisors, whose sum is σ = 105579094967762. Its totient is φ = 105579094967760.

The previous prime is 105579094967657. The next prime is 105579094967777. The reversal of 105579094967761 is 167769490975501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103098517217536 + 2480577750225 = 10153744^2 + 1574985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105579094967761 is a prime.

It is a super-2 number, since 2×105579094967761² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105579094947761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52789547483880 + 52789547483881.

It is an arithmetic number, because the mean of its divisors is an integer number (52789547483881).

Almost surely, 2^{105579094967761} is an apocalyptic number.

It is an amenable number.

105579094967761 is a deficient number, since it is larger than the sum of its proper divisors (1).

105579094967761 is an equidigital number, since it uses as much as digits as its factorization.

105579094967761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900169200, while the sum is 76.

The spelling of 105579094967761 in words is "one hundred five trillion, five hundred seventy-nine billion, ninety-four million, nine hundred sixty-seven thousand, seven hundred sixty-one".