10875144 has 64 divisors (see below), whose sum is σ = 32716800. Its totient is φ = 2942784.

The previous prime is 10875143. The next prime is 10875149. The reversal of 10875144 is 44157801.

It is not an unprimeable number, because it can be changed into a prime (10875143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (511200).

Almost surely, 2^10875144 is an apocalyptic number.

10875144 is a gapful number since it is divisible by the number (14) 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 10875144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358400).

10875144 is an abundant number, since it is smaller than the sum of its proper divisors (21841656).

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

10875144 is a wasteful number, since it uses less digits than its factorization.

10875144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 10875144 is about 3297.7483227196. The cubic root of 10875144 is about 221.5533589667.

The spelling of 10875144 in words is "ten million, eight hundred seventy-five thousand, one hundred forty-four".