10506544 has 60 divisors (see below), whose sum is σ = 22960584. Its totient is φ = 4640256.

The previous prime is 10506541. The next prime is 10506569. The reversal of 10506544 is 44560501.

It is a super-2 number, since 2×10506544² = 220774933647872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506541) 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 in 11 ways as a sum of consecutive naturals, for example, 98139 + ... + 98245.

Almost surely, 2^10506544 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 10506544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480292).

10506544 is an abundant number, since it is smaller than the sum of its proper divisors (12454040).

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

10506544 is a wasteful number, since it uses less digits than its factorization.

10506544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 10506544 is about 3241.3799530447. The cubic root of 10506544 is about 219.0214389331.

The spelling of 10506544 in words is "ten million, five hundred six thousand, five hundred forty-four".