105561106011017 has 2 divisors, whose sum is σ = 105561106011018. Its totient is φ = 105561106011016.

The previous prime is 105561106011013. The next prime is 105561106011047. The reversal of 105561106011017 is 710110601165501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56345605589641 + 49215500421376 = 7506371^2 + 7015376^2 .

It is a cyclic number.

It is not a de Polignac number, because 105561106011017 - 2² = 105561106011013 is a prime.

It is a super-2 number, since 2×105561106011017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105561106011013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52780553005508 + 52780553005509.

It is an arithmetic number, because the mean of its divisors is an integer number (52780553005509).

Almost surely, 2^{105561106011017} is an apocalyptic number.

It is an amenable number.

105561106011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105561106011017 is an equidigital number, since it uses as much as digits as its factorization.

105561106011017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 35.

Adding to 105561106011017 its reverse (710110601165501), we get a palindrome (815671707176518).

The spelling of 105561106011017 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, eleven thousand, seventeen".