10500332224 has 56 divisors (see below), whose sum is σ = 21486973536. Its totient is φ = 5088000000.

The previous prime is 10500332221. The next prime is 10500332303. The reversal of 10500332224 is 42223300501.

10500332224 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 2×10500332224² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10500332195 and 10500332204.

It is not an unprimeable number, because it can be changed into a prime (10500332221) by changing a digit.

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, 382974 + ... + 409474.

It is an arithmetic number, because the mean of its divisors is an integer number (383695956).

Almost surely, 2^10500332224 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 10500332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743486768).

10500332224 is an abundant number, since it is smaller than the sum of its proper divisors (10986641312).

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

10500332224 is a wasteful number, since it uses less digits than its factorization.

10500332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26705 (or 26695 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 10500332224 its reverse (42223300501), we get a palindrome (52723632725).

The spelling of 10500332224 in words is "ten billion, five hundred million, three hundred thirty-two thousand, two hundred twenty-four".