105561106016021 has 2 divisors, whose sum is σ = 105561106016022. Its totient is φ = 105561106016020.

The previous prime is 105561106016017. The next prime is 105561106016027. The reversal of 105561106016021 is 120610601165501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86896234894225 + 18664871121796 = 9321815^2 + 4320286^2 .

It is a cyclic number.

It is not a de Polignac number, because 105561106016021 - 2² = 105561106016017 is a prime.

It is a super-2 number, since 2×105561106016021² (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 (105561106016027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52780553008010 + 52780553008011.

It is an arithmetic number, because the mean of its divisors is an integer number (52780553008011).

Almost surely, 2^{105561106016021} is an apocalyptic number.

It is an amenable number.

105561106016021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105561106016021 is an equidigital number, since it uses as much as digits as its factorization.

105561106016021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 105561106016021 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, sixteen thousand, twenty-one".