105530873717 has 2 divisors, whose sum is σ = 105530873718. Its totient is φ = 105530873716.

The previous prime is 105530873663. The next prime is 105530873719. The reversal of 105530873717 is 717378035501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85150741636 + 20380132081 = 291806^2 + 142759^2 .

It is a cyclic number.

It is not a de Polignac number, because 105530873717 - 2¹⁰ = 105530872693 is a prime.

It is a super-2 number, since 2×105530873717² (a number of 23 digits) contains 22 as substring.

Together with 105530873719, 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 (105530873719) 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, 52765436858 + 52765436859.

It is an arithmetic number, because the mean of its divisors is an integer number (52765436859).

Almost surely, 2^105530873717 is an apocalyptic number.

It is an amenable number.

105530873717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105530873717 is an equidigital number, since it uses as much as digits as its factorization.

105530873717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 105530873717 in words is "one hundred five billion, five hundred thirty million, eight hundred seventy-three thousand, seven hundred seventeen".