10005468 has 48 divisors (see below), whose sum is σ = 25656960. Its totient is φ = 3009600.

The previous prime is 10005451. The next prime is 10005473. The reversal of 10005468 is 86450001.

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, 30063 + ... + 30393.

It is an arithmetic number, because the mean of its divisors is an integer number (534520).

Almost surely, 2^10005468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828480).

10005468 is an abundant number, since it is smaller than the sum of its proper divisors (15651492).

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

10005468 is a wasteful number, since it uses less digits than its factorization.

10005468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10005468 is about 3163.1421087267. The cubic root of 10005468 is about 215.4827300110.

Adding to 10005468 its reverse (86450001), we get a palindrome (96455469).

The spelling of 10005468 in words is "ten million, five thousand, four hundred sixty-eight".