105240317 has 32 divisors (see below), whose sum is σ = 134985984. Its totient is φ = 79833600.

The previous prime is 105240313. The next prime is 105240337. The reversal of 105240317 is 713042501.

It is not a de Polignac number, because 105240317 - 2² = 105240313 is a prime.

It is a super-2 number, since 2×105240317² = 22151048644520978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105240292 and 105240301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105240313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249767 + ... + 250187.

It is an arithmetic number, because the mean of its divisors is an integer number (4218312).

Almost surely, 2^105240317 is an apocalyptic number.

It is an amenable number.

105240317 is a deficient number, since it is larger than the sum of its proper divisors (29745667).

105240317 is a wasteful number, since it uses less digits than its factorization.

105240317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105240317 is about 10258.6703329428. The cubic root of 105240317 is about 472.1290419104.

Adding to 105240317 its reverse (713042501), we get a palindrome (818282818).

The spelling of 105240317 in words is "one hundred five million, two hundred forty thousand, three hundred seventeen".