10825144 has 48 divisors (see below), whose sum is σ = 22838760. Its totient is φ = 4804800.

The previous prime is 10825093. The next prime is 10825147. The reversal of 10825144 is 44152801.

10825144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51199 + ... + 51409.

Almost surely, 2^10825144 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 10825144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11419380).

10825144 is an abundant number, since it is smaller than the sum of its proper divisors (12013616).

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

10825144 is a wasteful number, since it uses less digits than its factorization.

10825144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 10825144 is about 3290.1586587884. The cubic root of 10825144 is about 221.2132963895.

Adding to 10825144 its reverse (44152801), we get a palindrome (54977945).

It can be divided in two parts, 1082 and 5144, that added together give a palindrome (6226).

The spelling of 10825144 in words is "ten million, eight hundred twenty-five thousand, one hundred forty-four".