105247117 has 2 divisors, whose sum is σ = 105247118. Its totient is φ = 105247116.

The previous prime is 105247073. The next prime is 105247127. The reversal of 105247117 is 711742501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105247081 + 36 = 10259^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 105247117 - 2⁷ = 105246989 is a prime.

It is a super-2 number, since 2×105247117² = 22153911273623378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105247127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52623558 + 52623559.

It is an arithmetic number, because the mean of its divisors is an integer number (52623559).

Almost surely, 2^105247117 is an apocalyptic number.

It is an amenable number.

105247117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105247117 is an equidigital number, since it uses as much as digits as its factorization.

105247117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 105247117 is about 10259.0017545568. The cubic root of 105247117 is about 472.1392104099.

Adding to 105247117 its reverse (711742501), we get a palindrome (816989618).

The spelling of 105247117 in words is "one hundred five million, two hundred forty-seven thousand, one hundred seventeen".