105320224 has 24 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 52420416.

The previous prime is 105320209. The next prime is 105320227. The reversal of 105320224 is 422023501.

It is a super-2 number, since 2×105320224² = 22184699166820352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105320227) 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, 244 + ... + 14515.

It is an arithmetic number, because the mean of its divisors is an integer number (8678880).

Almost surely, 2^105320224 is an apocalyptic number.

It is an amenable number.

105320224 is a deficient number, since it is larger than the sum of its proper divisors (102972896).

105320224 is a wasteful number, since it uses less digits than its factorization.

105320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992 (or 14984 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105320224 is about 10262.5642019916. The cubic root of 105320224 is about 472.2485045907.

Adding to 105320224 its reverse (422023501), we get a palindrome (527343725).

The spelling of 105320224 in words is "one hundred five million, three hundred twenty thousand, two hundred twenty-four".