105505550617 has 2 divisors, whose sum is σ = 105505550618. Its totient is φ = 105505550616.

The previous prime is 105505550587. The next prime is 105505550669. The reversal of 105505550617 is 716055505501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81991168281 + 23514382336 = 286341^2 + 153344^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505550617 - 2⁷ = 105505550489 is a prime.

It is a super-2 number, since 2×105505550617² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105505550617.

It is not a weakly prime, because it can be changed into another prime (105505553617) 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, 52752775308 + 52752775309.

It is an arithmetic number, because the mean of its divisors is an integer number (52752775309).

Almost surely, 2^105505550617 is an apocalyptic number.

It is an amenable number.

105505550617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505550617 is an equidigital number, since it uses as much as digits as its factorization.

105505550617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131250, while the sum is 40.

The spelling of 105505550617 in words is "one hundred five billion, five hundred five million, five hundred fifty thousand, six hundred seventeen".