105605600561 has 2 divisors, whose sum is σ = 105605600562. Its totient is φ = 105605600560.

The previous prime is 105605600501. The next prime is 105605600609. The reversal of 105605600561 is 165006506501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81590209600 + 24015390961 = 285640^2 + 154969^2 .

It is a cyclic number.

It is not a de Polignac number, because 105605600561 - 2⁶ = 105605600497 is a prime.

It is a super-3 number, since 3×105605600561³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105605600501) 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, 52802800280 + 52802800281.

It is an arithmetic number, because the mean of its divisors is an integer number (52802800281).

Almost surely, 2^105605600561 is an apocalyptic number.

It is an amenable number.

105605600561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105605600561 is an equidigital number, since it uses as much as digits as its factorization.

105605600561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105605600561 in words is "one hundred five billion, six hundred five million, six hundred thousand, five hundred sixty-one".