10719144 has 48 divisors (see below), whose sum is σ = 29589300. Its totient is φ = 3505632.

The previous prime is 10719143. The next prime is 10719151. The reversal of 10719144 is 44191701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10719144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10692900 + 26244 = 3270^2 + 162^2 .

It is a super-3 number, since 3×10719144³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10719143) 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, 202222 + ... + 202274.

Almost surely, 2^10719144 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 10719144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794650).

10719144 is an abundant number, since it is smaller than the sum of its proper divisors (18870156).

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

10719144 is an frugal number, since it uses more digits than its factorization.

10719144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10719144 is about 3274.0103848339. The cubic root of 10719144 is about 220.4888852435.

The spelling of 10719144 in words is "ten million, seven hundred nineteen thousand, one hundred forty-four".