105007772561 has 2 divisors, whose sum is σ = 105007772562. Its totient is φ = 105007772560.

The previous prime is 105007772533. The next prime is 105007772609. The reversal of 105007772561 is 165277700501.

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., 85395450625 + 19612321936 = 292225^2 + 140044^2 .

It is a cyclic number.

It is not a de Polignac number, because 105007772561 - 2³⁴ = 87827903377 is a prime.

It is a super-2 number, since 2×105007772561² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105007772161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52503886280 + 52503886281.

It is an arithmetic number, because the mean of its divisors is an integer number (52503886281).

Almost surely, 2^105007772561 is an apocalyptic number.

It is an amenable number.

105007772561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105007772561 is an equidigital number, since it uses as much as digits as its factorization.

105007772561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 105007772561 in words is "one hundred five billion, seven million, seven hundred seventy-two thousand, five hundred sixty-one".