10005345 has 48 divisors (see below), whose sum is σ = 20696832. Its totient is φ = 4371840.

The previous prime is 10005337. The next prime is 10005349. The reversal of 10005345 is 54350001.

It is not a de Polignac number, because 10005345 - 2³ = 10005337 is a prime.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 6555 + ... + 7935.

It is an arithmetic number, because the mean of its divisors is an integer number (431184).

Almost surely, 2^10005345 is an apocalyptic number.

10005345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10005345 is an abundant number, since it is smaller than the sum of its proper divisors (10691487).

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

10005345 is a wasteful number, since it uses less digits than its factorization.

10005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10005345 is about 3163.1226659742. The cubic root of 10005345 is about 215.4818470110.

Adding to 10005345 its reverse (54350001), we get a palindrome (64355346).

The spelling of 10005345 in words is "ten million, five thousand, three hundred forty-five".