105106061061061 has 2 divisors, whose sum is σ = 105106061061062. Its totient is φ = 105106061061060.

The previous prime is 105106061060951. The next prime is 105106061061107. The reversal of 105106061061061 is 160160160601501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105064447509025 + 41613552036 = 10250095^2 + 203994^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106061061061 - 2⁷ = 105106061060933 is a prime.

It is a super-2 number, since 2×105106061061061² (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 (105106061061461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553030530530 + 52553030530531.

It is an arithmetic number, because the mean of its divisors is an integer number (52553030530531).

Almost surely, 2^{105106061061061} is an apocalyptic number.

It is an amenable number.

105106061061061 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106061061061 is an equidigital number, since it uses as much as digits as its factorization.

105106061061061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 105106061061061 in words is "one hundred five trillion, one hundred six billion, sixty-one million, sixty-one thousand, sixty-one".