105258617 has 2 divisors, whose sum is σ = 105258618. Its totient is φ = 105258616.

The previous prime is 105258551. The next prime is 105258619. The reversal of 105258617 is 716852501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97990201 + 7268416 = 9899^2 + 2696^2 .

It is a cyclic number.

It is not a de Polignac number, because 105258617 - 2²⁶ = 38149753 is a prime.

It is a super-3 number, since 3×105258617³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 105258619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105258619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52629308 + 52629309.

It is an arithmetic number, because the mean of its divisors is an integer number (52629309).

Almost surely, 2^105258617 is an apocalyptic number.

It is an amenable number.

105258617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105258617 is an equidigital number, since it uses as much as digits as its factorization.

105258617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 35.

The square root of 105258617 is about 10259.5622226292. The cubic root of 105258617 is about 472.1564061404.

The spelling of 105258617 in words is "one hundred five million, two hundred fifty-eight thousand, six hundred seventeen".