105242317 has 2 divisors, whose sum is σ = 105242318. Its totient is φ = 105242316.

The previous prime is 105242309. The next prime is 105242329. The reversal of 105242317 is 713242501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90079081 + 15163236 = 9491^2 + 3894^2 .

It is a cyclic number.

It is not a de Polignac number, because 105242317 - 2³ = 105242309 is a prime.

It is a super-2 number, since 2×105242317² = 22151890575056978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105242291 and 105242300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105542317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52621158 + 52621159.

It is an arithmetic number, because the mean of its divisors is an integer number (52621159).

Almost surely, 2^105242317 is an apocalyptic number.

It is an amenable number.

105242317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105242317 is an equidigital number, since it uses as much as digits as its factorization.

105242317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 105242317 is about 10258.7678109995. The cubic root of 105242317 is about 472.1320326910.

Adding to 105242317 its reverse (713242501), we get a palindrome (818484818).

The spelling of 105242317 in words is "one hundred five million, two hundred forty-two thousand, three hundred seventeen".