105205117 has 2 divisors, whose sum is σ = 105205118. Its totient is φ = 105205116.

The previous prime is 105205099. The next prime is 105205141. The reversal of 105205117 is 711502501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79103236 + 26101881 = 8894^2 + 5109^2 .

It is a cyclic number.

It is not a de Polignac number, because 105205117 - 2¹⁵ = 105172349 is a prime.

It is a super-2 number, since 2×105205117² = 22136233285967378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105205187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602558 + 52602559.

It is an arithmetic number, because the mean of its divisors is an integer number (52602559).

Almost surely, 2^105205117 is an apocalyptic number.

It is an amenable number.

105205117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105205117 is an equidigital number, since it uses as much as digits as its factorization.

105205117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 105205117 is about 10256.9545675117. The cubic root of 105205117 is about 472.0763979682.

Adding to 105205117 its reverse (711502501), we get a palindrome (816707618).

The spelling of 105205117 in words is "one hundred five million, two hundred five thousand, one hundred seventeen".