10008305 has 8 divisors (see below), whose sum is σ = 12303144. Its totient is φ = 7811200.

The previous prime is 10008283. The next prime is 10008311. The reversal of 10008305 is 50380001.

It can be written as a sum of positive squares in 4 ways, for example, as 323761 + 9684544 = 569^2 + 3112^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10008305 - 2¹⁸ = 9746161 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24206 + ... + 24615.

It is an arithmetic number, because the mean of its divisors is an integer number (1537893).

Almost surely, 2^10008305 is an apocalyptic number.

It is an amenable number.

10008305 is a deficient number, since it is larger than the sum of its proper divisors (2294839).

10008305 is an equidigital number, since it uses as much as digits as its factorization.

10008305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48867.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10008305 is about 3163.5905234401. The cubic root of 10008305 is about 215.5030944336.

Adding to 10008305 its reverse (50380001), we get a palindrome (60388306).

The spelling of 10008305 in words is "ten million, eight thousand, three hundred five".