105056089121 has 2 divisors, whose sum is σ = 105056089122. Its totient is φ = 105056089120.

The previous prime is 105056089111. The next prime is 105056089129. The reversal of 105056089121 is 121980650501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81261484096 + 23794605025 = 285064^2 + 154255^2 .

It is a cyclic number.

It is not a de Polignac number, because 105056089121 - 2¹⁸ = 105055826977 is a prime.

It is a super-2 number, since 2×105056089121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105056089129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52528044560 + 52528044561.

It is an arithmetic number, because the mean of its divisors is an integer number (52528044561).

Almost surely, 2^105056089121 is an apocalyptic number.

It is an amenable number.

105056089121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105056089121 is an equidigital number, since it uses as much as digits as its factorization.

105056089121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 105056089121 in words is "one hundred five billion, fifty-six million, eighty-nine thousand, one hundred twenty-one".