105330304 has 16 divisors (see below), whose sum is σ = 209837970. Its totient is φ = 52665088.

The previous prime is 105330301. The next prime is 105330311. The reversal of 105330304 is 403033501.

It can be written as a sum of positive squares in only one way, i.e., 96040000 + 9290304 = 9800^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105330304² = 22188945881464832, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105330301) 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 as a sum of consecutive naturals, namely, 411319 + ... + 411574.

Almost surely, 2^105330304 is an apocalyptic number.

It is an amenable number.

105330304 is a deficient number, since it is larger than the sum of its proper divisors (104507666).

105330304 is an frugal number, since it uses more digits than its factorization.

105330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822907 (or 822895 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 105330304 is about 10263.0552955735. The cubic root of 105330304 is about 472.2635701147.

Adding to 105330304 its reverse (403033501), we get a palindrome (508363805).

The spelling of 105330304 in words is "one hundred five million, three hundred thirty thousand, three hundred four".