105306304 has 28 divisors (see below), whose sum is σ = 211133944. Its totient is φ = 52107264.

The previous prime is 105306301. The next prime is 105306319. The reversal of 105306304 is 403603501.

It is a super-2 number, since 2×105306304² = 22178835324280832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105306301) 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, 2274 + ... + 14689.

It is an arithmetic number, because the mean of its divisors is an integer number (7540498).

Almost surely, 2^105306304 is an apocalyptic number.

It is an amenable number.

105306304 is an abundant number, since it is smaller than the sum of its proper divisors (105827640).

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

105306304 is an equidigital number, since it uses as much as digits as its factorization.

105306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17072 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 105306304 is about 10261.8859865037. The cubic root of 105306304 is about 472.2276982392.

Adding to 105306304 its reverse (403603501), we get a palindrome (508909805).

The spelling of 105306304 in words is "one hundred five million, three hundred six thousand, three hundred four".