105321305 has 4 divisors (see below), whose sum is σ = 126385572. Its totient is φ = 84257040.

The previous prime is 105321287. The next prime is 105321367. The reversal of 105321305 is 503123501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48288601 + 57032704 = 6949^2 + 7552^2 .

It is not a de Polignac number, because 105321305 - 2¹⁶ = 105255769 is a prime.

It is a super-2 number, since 2×105321305² = 22185154573806050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10532126 + ... + 10532135.

It is an arithmetic number, because the mean of its divisors is an integer number (31596393).

Almost surely, 2^105321305 is an apocalyptic number.

It is an amenable number.

105321305 is a deficient number, since it is larger than the sum of its proper divisors (21064267).

105321305 is an equidigital number, since it uses as much as digits as its factorization.

105321305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21064266.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105321305 is about 10262.6168690057. The cubic root of 105321305 is about 472.2501202946.

Adding to 105321305 its reverse (503123501), we get a palindrome (608444806).

The spelling of 105321305 in words is "one hundred five million, three hundred twenty-one thousand, three hundred five".