105405313 has 8 divisors (see below), whose sum is σ = 113657600. Its totient is φ = 97173648.

The previous prime is 105405283. The next prime is 105405323. The reversal of 105405313 is 313504501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105405313 - 2⁹ = 105404801 is a prime.

It is a super-2 number, since 2×105405313² = 22220560017255938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105405323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6448 + ... + 15886.

It is an arithmetic number, because the mean of its divisors is an integer number (14207200).

Almost surely, 2^105405313 is an apocalyptic number.

105405313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105405313 is a deficient number, since it is larger than the sum of its proper divisors (8252287).

105405313 is an equidigital number, since it uses as much as digits as its factorization.

105405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105405313 is about 10266.7089663631. The cubic root of 105405313 is about 472.3756480614.

Adding to 105405313 its reverse (313504501), we get a palindrome (418909814).

The spelling of 105405313 in words is "one hundred five million, four hundred five thousand, three hundred thirteen".