105310304 has 48 divisors (see below), whose sum is σ = 231726096. Its totient is φ = 46694400.

The previous prime is 105310301. The next prime is 105310327. The reversal of 105310304 is 403013501.

It is a super-2 number, since 2×105310304² = 22180520257144832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105310301) 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, 10784 + ... + 18080.

It is an arithmetic number, because the mean of its divisors is an integer number (4827627).

Almost surely, 2^105310304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115863048).

105310304 is an abundant number, since it is smaller than the sum of its proper divisors (126415792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105310304 is a wasteful number, since it uses less digits than its factorization.

105310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105310304 is about 10262.0808806012. The cubic root of 105310304 is about 472.2336772636.

Adding to 105310304 its reverse (403013501), we get a palindrome (508323805).

The spelling of 105310304 in words is "one hundred five million, three hundred ten thousand, three hundred four".