10006544 has 10 divisors (see below), whose sum is σ = 19387710. Its totient is φ = 5003264.

The previous prime is 10006519. The next prime is 10006547. The reversal of 10006544 is 44560001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7075600 + 2930944 = 2660^2 + 1712^2 .

It is not an unprimeable number, because it can be changed into a prime (10006547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 312689 + ... + 312720.

It is an arithmetic number, because the mean of its divisors is an integer number (1938771).

Almost surely, 2^10006544 is an apocalyptic number.

It is an amenable number.

10006544 is a deficient number, since it is larger than the sum of its proper divisors (9381166).

10006544 is an equidigital number, since it uses as much as digits as its factorization.

10006544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625417 (or 625411 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10006544 is about 3163.3121881977. The cubic root of 10006544 is about 215.4904541577.

Adding to 10006544 its reverse (44560001), we get a palindrome (54566545).

The spelling of 10006544 in words is "ten million, six thousand, five hundred forty-four".