105330303 has 12 divisors (see below), whose sum is σ = 163847320. Its totient is φ = 64818576.

The previous prime is 105330301. The next prime is 105330311. The reversal of 105330303 is 303033501.

It is not a de Polignac number, because 105330303 - 2¹ = 105330301 is a prime.

It is a super-2 number, since 2×105330303² = 22188945460143618, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450013 + ... + 450246.

Almost surely, 2^105330303 is an apocalyptic number.

105330303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105330303 is a deficient number, since it is larger than the sum of its proper divisors (58517017).

105330303 is a wasteful number, since it uses less digits than its factorization.

105330303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900278 (or 900275 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 105330303 is about 10263.0552468551. The cubic root of 105330303 is about 472.2635686201.

Adding to 105330303 its reverse (303033501), we get a palindrome (408363804).

The spelling of 105330303 in words is "one hundred five million, three hundred thirty thousand, three hundred three".