105323313 has 8 divisors (see below), whose sum is σ = 148691808. Its totient is φ = 66085184.

The previous prime is 105323311. The next prime is 105323329. The reversal of 105323313 is 313323501.

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

It is a cyclic number.

It is not a de Polignac number, because 105323313 - 2¹ = 105323311 is a prime.

It is a super-2 number, since 2×105323313² = 22186000522591938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105323313.

It is not an unprimeable number, because it can be changed into a prime (105323311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032531 + ... + 1032632.

It is an arithmetic number, because the mean of its divisors is an integer number (18586476).

Almost surely, 2^105323313 is an apocalyptic number.

It is an amenable number.

105323313 is a deficient number, since it is larger than the sum of its proper divisors (43368495).

105323313 is a wasteful number, since it uses less digits than its factorization.

105323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065183.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 105323313 is about 10262.7146993376. The cubic root of 105323313 is about 472.2531214988.

Adding to 105323313 its reverse (313323501), we get a palindrome (418646814).

The spelling of 105323313 in words is "one hundred five million, three hundred twenty-three thousand, three hundred thirteen".