10005348 has 24 divisors (see below), whose sum is σ = 24151680. Its totient is φ = 3220000.

The previous prime is 10005337. The next prime is 10005349. The reversal of 10005348 is 84350001.

It is a super-2 number, since 2×10005348² = 200213977202208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14028 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (1006320).

Almost surely, 2^10005348 is an apocalyptic number.

It is an amenable number.

10005348 is an abundant number, since it is smaller than the sum of its proper divisors (14146332).

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

10005348 is a wasteful number, since it uses less digits than its factorization.

10005348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28787 (or 28785 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10005348 is about 3163.1231401891. The cubic root of 10005348 is about 215.4818685477.

Adding to 10005348 its reverse (84350001), we get a palindrome (94355349).

The spelling of 10005348 in words is "ten million, five thousand, three hundred forty-eight".