105550600060561 has 2 divisors, whose sum is σ = 105550600060562. Its totient is φ = 105550600060560.

The previous prime is 105550600060523. The next prime is 105550600060573. The reversal of 105550600060561 is 165060006055501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64834204776961 + 40716395283600 = 8051969^2 + 6380940^2 .

It is a cyclic number.

It is not a de Polignac number, because 105550600060561 - 2²¹ = 105550597963409 is a prime.

It is a super-2 number, since 2×105550600060561² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105550600060261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52775300030280 + 52775300030281.

It is an arithmetic number, because the mean of its divisors is an integer number (52775300030281).

Almost surely, 2^{105550600060561} is an apocalyptic number.

It is an amenable number.

105550600060561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105550600060561 is an equidigital number, since it uses as much as digits as its factorization.

105550600060561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 105550600060561 in words is "one hundred five trillion, five hundred fifty billion, six hundred million, sixty thousand, five hundred sixty-one".