10005310 has 32 divisors (see below), whose sum is σ = 21009600. Its totient is φ = 3429216.

The previous prime is 10005293. The next prime is 10005323. The reversal of 10005310 is 1350001.

It is a super-2 number, since 2×10005310² = 200212456392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1972 + ... + 4888.

It is an arithmetic number, because the mean of its divisors is an integer number (656550).

Almost surely, 2^10005310 is an apocalyptic number.

10005310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005310 is an abundant number, since it is smaller than the sum of its proper divisors (11004290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005310 is an equidigital number, since it uses as much as digits as its factorization.

10005310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 10005310 is about 3163.1171334619. The cubic root of 10005310 is about 215.4815957496.

Adding to 10005310 its reverse (1350001), we get a palindrome (11355311).

The spelling of 10005310 in words is "ten million, five thousand, three hundred ten".