105321064 has 16 divisors (see below), whose sum is σ = 197789220. Its totient is φ = 52577280.

The previous prime is 105321059. The next prime is 105321067. The reversal of 105321064 is 460123501.

It can be written as a sum of positive squares in 2 ways, for example, as 104898564 + 422500 = 10242^2 + 650^2 .

It is a super-2 number, since 2×105321064² = 22185053044184192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105321067) 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 3 ways as a sum of consecutive naturals, for example, 4857 + ... + 15304.

Almost surely, 2^105321064 is an apocalyptic number.

It is an amenable number.

105321064 is a deficient number, since it is larger than the sum of its proper divisors (92468156).

105321064 is a wasteful number, since it uses less digits than its factorization.

105321064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20820 (or 20816 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105321064 is about 10262.6051273544. The cubic root of 105321064 is about 472.2497600878.

Adding to 105321064 its reverse (460123501), we get a palindrome (565444565).

The spelling of 105321064 in words is "one hundred five million, three hundred twenty-one thousand, sixty-four".