105105617 has 2 divisors, whose sum is σ = 105105618. Its totient is φ = 105105616.

The previous prime is 105105613. The next prime is 105105659. The reversal of 105105617 is 716501501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101586241 + 3519376 = 10079^2 + 1876^2 .

It is an emirp because it is prime and its reverse (716501501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105105617 - 2² = 105105613 is a prime.

It is a super-2 number, since 2×105105617² = 22094381449901378, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105105613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552808 + 52552809.

It is an arithmetic number, because the mean of its divisors is an integer number (52552809).

Almost surely, 2^105105617 is an apocalyptic number.

It is an amenable number.

105105617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105617 is an equidigital number, since it uses as much as digits as its factorization.

105105617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 105105617 is about 10252.1030525449. The cubic root of 105105617 is about 471.9275255596.

The spelling of 105105617 in words is "one hundred five million, one hundred five thousand, six hundred seventeen".