10003305 has 32 divisors (see below), whose sum is σ = 17652096. Its totient is φ = 4806144.

The previous prime is 10003277. The next prime is 10003337. The reversal of 10003305 is 50330001.

It is a happy number.

It is not a de Polignac number, because 10003305 - 2¹⁵ = 9970537 is a prime.

It is a super-2 number, since 2×10003305² = 200132221846050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7789 + ... + 8981.

It is an arithmetic number, because the mean of its divisors is an integer number (551628).

Almost surely, 2^10003305 is an apocalyptic number.

10003305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10003305 is a deficient number, since it is larger than the sum of its proper divisors (7648791).

10003305 is a wasteful number, since it uses less digits than its factorization.

10003305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 10003305 is about 3162.8001833818. The cubic root of 10003305 is about 215.4672010777.

Adding to 10003305 its reverse (50330001), we get a palindrome (60333306).

The spelling of 10003305 in words is "ten million, three thousand, three hundred five".