10501144320 has 72 divisors (see below), whose sum is σ = 33538041936. Its totient is φ = 2800304128.

The previous prime is 10501144301. The next prime is 10501144331. The reversal of 10501144320 is 2344110501.

10501144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10501144320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363497 + ... + 1371176.

It is an arithmetic number, because the mean of its divisors is an integer number (465806138).

Almost surely, 2^10501144320 is an apocalyptic number.

10501144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501144320 is an abundant number, since it is smaller than the sum of its proper divisors (23036897616).

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

10501144320 is an equidigital number, since it uses as much as digits as its factorization.

10501144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734697 (or 2734683 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10501144320 its reverse (2344110501), we get a palindrome (12845254821).

It can be divided in two parts, 105011 and 44320, that added together give a triangular number (149331 = T₅₄₆).

The spelling of 10501144320 in words is "ten billion, five hundred one million, one hundred forty-four thousand, three hundred twenty".