105203313 has 16 divisors (see below), whose sum is σ = 158500800. Its totient is φ = 68945760.

The previous prime is 105203303. The next prime is 105203341. The reversal of 105203313 is 313302501.

It is not a de Polignac number, because 105203313 - 2⁵ = 105203281 is a prime.

It is a super-2 number, since 2×105203313² = 22135474132351938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105203303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31428 + ... + 34613.

It is an arithmetic number, because the mean of its divisors is an integer number (9906300).

Almost surely, 2^105203313 is an apocalyptic number.

It is an amenable number.

105203313 is a deficient number, since it is larger than the sum of its proper divisors (53297487).

105203313 is an equidigital number, since it uses as much as digits as its factorization.

105203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66109 (or 66103 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105203313 is about 10256.8666268018. The cubic root of 105203313 is about 472.0736996499.

Adding to 105203313 its reverse (313302501), we get a palindrome (418505814).

The spelling of 105203313 in words is "one hundred five million, two hundred three thousand, three hundred thirteen".