105117013 has 2 divisors, whose sum is σ = 105117014. Its totient is φ = 105117012.

The previous prime is 105116971. The next prime is 105117059. The reversal of 105117013 is 310711501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100761444 + 4355569 = 10038^2 + 2087^2 .

It is a cyclic number.

It is not a de Polignac number, because 105117013 - 2¹³ = 105108821 is a prime.

It is a super-2 number, since 2×105117013² = 22099172844084338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105117913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558506 + 52558507.

It is an arithmetic number, because the mean of its divisors is an integer number (52558507).

Almost surely, 2^105117013 is an apocalyptic number.

It is an amenable number.

105117013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117013 is an equidigital number, since it uses as much as digits as its factorization.

105117013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 105117013 is about 10252.6588258851. The cubic root of 105117013 is about 471.9445810759.

Adding to 105117013 its reverse (310711501), we get a palindrome (415828514).

The spelling of 105117013 in words is "one hundred five million, one hundred seventeen thousand, thirteen".