105560061106121 has 2 divisors, whose sum is σ = 105560061106122. Its totient is φ = 105560061106120.

The previous prime is 105560061106081. The next prime is 105560061106271. The reversal of 105560061106121 is 121601160065501.

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., 54172382115721 + 51387678990400 = 7360189^2 + 7168520^2 .

It is a cyclic number.

It is not a de Polignac number, because 105560061106121 - 2¹⁸ = 105560060843977 is a prime.

It is a super-2 number, since 2×105560061106121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105560061106921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52780030553060 + 52780030553061.

It is an arithmetic number, because the mean of its divisors is an integer number (52780030553061).

Almost surely, 2^{105560061106121} is an apocalyptic number.

It is an amenable number.

105560061106121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105560061106121 is an equidigital number, since it uses as much as digits as its factorization.

105560061106121 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 105560061106121 in words is "one hundred five trillion, five hundred sixty billion, sixty-one million, one hundred six thousand, one hundred twenty-one".