10320144 has 40 divisors (see below), whose sum is σ = 27066720. Its totient is φ = 3387648.

The previous prime is 10320131. The next prime is 10320157. The reversal of 10320144 is 44102301.

It is an interprime number because it is at equal distance from previous prime (10320131) and next prime (10320157).

It is a super-3 number, since 3×10320144³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1612 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (676668).

Almost surely, 2^10320144 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 10320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533360).

10320144 is an abundant number, since it is smaller than the sum of its proper divisors (16746576).

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

10320144 is a wasteful number, since it uses less digits than its factorization.

10320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10320144 is about 3212.4980933846. The cubic root of 10320144 is about 217.7184593252.

Adding to 10320144 its reverse (44102301), we get a palindrome (54422445).

The spelling of 10320144 in words is "ten million, three hundred twenty thousand, one hundred forty-four".