10005305 has 8 divisors (see below), whose sum is σ = 12638400. Its totient is φ = 7582896.

The previous prime is 10005293. The next prime is 10005323. The reversal of 10005305 is 50350001.

10005305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10005305 - 2⁶ = 10005241 is a prime.

It is a super-3 number, since 3×10005305³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10005305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52565 + ... + 52754.

It is an arithmetic number, because the mean of its divisors is an integer number (1579800).

Almost surely, 2^10005305 is an apocalyptic number.

It is an amenable number.

10005305 is a deficient number, since it is larger than the sum of its proper divisors (2633095).

10005305 is a wasteful number, since it uses less digits than its factorization.

10005305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105343.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10005305 is about 3163.1163431022. The cubic root of 10005305 is about 215.4815598550.

Adding to 10005305 its reverse (50350001), we get a palindrome (60355306).

The spelling of 10005305 in words is "ten million, five thousand, three hundred five".