105565161701 has 2 divisors, whose sum is σ = 105565161702. Its totient is φ = 105565161700.

The previous prime is 105565161683. The next prime is 105565161703. The reversal of 105565161701 is 107161565501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84387345025 + 21177816676 = 290495^2 + 145526^2 .

It is a cyclic number.

It is not a de Polignac number, because 105565161701 - 2¹⁰ = 105565160677 is a prime.

It is a super-2 number, since 2×105565161701² (a number of 23 digits) contains 22 as substring.

Together with 105565161703, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105565161703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782580850 + 52782580851.

It is an arithmetic number, because the mean of its divisors is an integer number (52782580851).

Almost surely, 2^105565161701 is an apocalyptic number.

It is an amenable number.

105565161701 is a deficient number, since it is larger than the sum of its proper divisors (1).

105565161701 is an equidigital number, since it uses as much as digits as its factorization.

105565161701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 38.

The spelling of 105565161701 in words is "one hundred five billion, five hundred sixty-five million, one hundred sixty-one thousand, seven hundred one".