10011144 has 64 divisors (see below), whose sum is σ = 29413440. Its totient is φ = 2799360.

The previous prime is 10011121. The next prime is 10011163. The reversal of 10011144 is 44111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1974 + ... + 4890.

It is an arithmetic number, because the mean of its divisors is an integer number (459585).

Almost surely, 2^10011144 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 10011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706720).

10011144 is an abundant number, since it is smaller than the sum of its proper divisors (19402296).

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

10011144 is a wasteful number, since it uses less digits than its factorization.

10011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10011144 is about 3164.0391906549. The cubic root of 10011144 is about 215.5234693604.

Adding to 10011144 its reverse (44111001), we get a palindrome (54122145).

It can be divided in two parts, 1001 and 1144, that added together give a triangular number (2145 = T₆₅).

The spelling of 10011144 in words is "ten million, eleven thousand, one hundred forty-four".