10218144 has 48 divisors (see below), whose sum is σ = 27028512. Its totient is φ = 3379968.

The previous prime is 10218119. The next prime is 10218149. The reversal of 10218144 is 44181201.

It is a happy number.

10218144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10218144.

It is not an unprimeable number, because it can be changed into a prime (10218149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15322 + ... + 15974.

It is an arithmetic number, because the mean of its divisors is an integer number (563094).

Almost surely, 2^10218144 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 10218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514256).

10218144 is an abundant number, since it is smaller than the sum of its proper divisors (16810368).

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

10218144 is a wasteful number, since it uses less digits than its factorization.

10218144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10218144 is about 3196.5831758301. The cubic root of 10218144 is about 216.9988036772.

Adding to 10218144 its reverse (44181201), we get a palindrome (54399345).

The spelling of 10218144 in words is "ten million, two hundred eighteen thousand, one hundred forty-four".