105007117 has 2 divisors, whose sum is σ = 105007118. Its totient is φ = 105007116.

The previous prime is 105007081. The next prime is 105007139. The reversal of 105007117 is 711700501.

It is an a-pointer prime, because the next prime (105007139) can be obtained adding 105007117 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101727396 + 3279721 = 10086^2 + 1811^2 .

It is an emirp because it is prime and its reverse (711700501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105007117 is a prime.

It is a super-2 number, since 2×105007117² = 22052989241303378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105007187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52503558 + 52503559.

It is an arithmetic number, because the mean of its divisors is an integer number (52503559).

Almost surely, 2^105007117 is an apocalyptic number.

It is an amenable number.

105007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105007117 is an equidigital number, since it uses as much as digits as its factorization.

105007117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 22.

The square root of 105007117 is about 10247.2980341161. The cubic root of 105007117 is about 471.7800567839.

Adding to 105007117 its reverse (711700501), we get a palindrome (816707618).

The spelling of 105007117 in words is "one hundred five million, seven thousand, one hundred seventeen".