10018944 has 128 divisors (see below), whose sum is σ = 31987200. Its totient is φ = 3068928.

The previous prime is 10018937. The next prime is 10018969. The reversal of 10018944 is 44981001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44817 + ... + 45039.

It is an arithmetic number, because the mean of its divisors is an integer number (249900).

Almost surely, 2^10018944 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 10018944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993600).

10018944 is an abundant number, since it is smaller than the sum of its proper divisors (21968256).

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

10018944 is a wasteful number, since it uses less digits than its factorization.

10018944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10018944 is about 3165.2715523316. The cubic root of 10018944 is about 215.5794285546.

Adding to 10018944 its reverse (44981001), we get a palindrome (54999945).

It can be divided in two parts, 100 and 18944, that added together give a square (19044 = 138²).

The spelling of 10018944 in words is "ten million, eighteen thousand, nine hundred forty-four".