10005456 has 40 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 3277696.

The previous prime is 10005451. The next prime is 10005473. The reversal of 10005456 is 65450001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005451) 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, 1066 + ... + 4598.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^10005456 is an apocalyptic number.

10005456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

10005456 is an abundant number, since it is smaller than the sum of its proper divisors (16287504).

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

10005456 is a wasteful number, since it uses less digits than its factorization.

10005456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10005456 is about 3163.1402118781. The cubic root of 10005456 is about 215.4826438650.

Adding to 10005456 its reverse (65450001), we get a palindrome (75455457).

The spelling of 10005456 in words is "ten million, five thousand, four hundred fifty-six".