10005300 has 54 divisors (see below), whose sum is σ = 31363878. Its totient is φ = 2667840.

The previous prime is 10005293. The next prime is 10005323. The reversal of 10005300 is 350001.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 9998244 = 84^2 + 3162^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent 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 17 ways as a sum of consecutive naturals, for example, 4659 + ... + 6458.

Almost surely, 2^10005300 is an apocalyptic number.

10005300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005300 is an abundant number, since it is smaller than the sum of its proper divisors (21358578).

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

10005300 is a wasteful number, since it uses less digits than its factorization.

10005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 10005300 is about 3163.1155527423. The cubic root of 10005300 is about 215.4815239605.

Adding to 10005300 its reverse (350001), we get a palindrome (10355301).

The spelling of 10005300 in words is "ten million, five thousand, three hundred".