105870918017 has 2 divisors, whose sum is σ = 105870918018. Its totient is φ = 105870918016.

The previous prime is 105870917989. The next prime is 105870918047. The reversal of 105870918017 is 710819078501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76264897921 + 29606020096 = 276161^2 + 172064^2 .

It is a cyclic number.

It is not a de Polignac number, because 105870918017 - 2¹⁰ = 105870916993 is a prime.

It is a super-2 number, since 2×105870918017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105870918047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52935459008 + 52935459009.

It is an arithmetic number, because the mean of its divisors is an integer number (52935459009).

Almost surely, 2^105870918017 is an apocalyptic number.

It is an amenable number.

105870918017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105870918017 is an equidigital number, since it uses as much as digits as its factorization.

105870918017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 47.

The spelling of 105870918017 in words is "one hundred five billion, eight hundred seventy million, nine hundred eighteen thousand, seventeen".