10500225200 has 60 divisors (see below), whose sum is σ = 25378011120. Its totient is φ = 4174913280.

The previous prime is 10500225187. The next prime is 10500225217. The reversal of 10500225200 is 252200501.

10500225200 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 2×10500225200² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 11795 + ... + 145394.

It is an arithmetic number, because the mean of its divisors is an integer number (422966852).

Almost surely, 2^10500225200 is an apocalyptic number.

10500225200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689005560).

10500225200 is an abundant number, since it is smaller than the sum of its proper divisors (14877785920).

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

10500225200 is a wasteful number, since it uses less digits than its factorization.

10500225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157374 (or 157363 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 10500225200 its reverse (252200501), we get a palindrome (10752425701).

The spelling of 10500225200 in words is "ten billion, five hundred million, two hundred twenty-five thousand, two hundred".