105775241061097 has 2 divisors, whose sum is σ = 105775241061098. Its totient is φ = 105775241061096.

The previous prime is 105775241061073. The next prime is 105775241061103. The reversal of 105775241061097 is 790160142577501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104554490085721 + 1220750975376 = 10225189^2 + 1104876^2 .

It is a cyclic number.

It is not a de Polignac number, because 105775241061097 - 2³¹ = 105773093577449 is a prime.

It is a super-2 number, since 2×105775241061097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105775241061197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52887620530548 + 52887620530549.

It is an arithmetic number, because the mean of its divisors is an integer number (52887620530549).

Almost surely, 2^{105775241061097} is an apocalyptic number.

It is an amenable number.

105775241061097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105775241061097 is an equidigital number, since it uses as much as digits as its factorization.

105775241061097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3704400, while the sum is 55.

The spelling of 105775241061097 in words is "one hundred five trillion, seven hundred seventy-five billion, two hundred forty-one million, sixty-one thousand, ninety-seven".