10512323200 has 96 divisors (see below), whose sum is σ = 26806677120. Its totient is φ = 4069248000.

The previous prime is 10512323189. The next prime is 10512323203. The reversal of 10512323200 is 232321501.

It is a super-2 number, since 2×10512323200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10512323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46215 + ... + 152185.

It is an arithmetic number, because the mean of its divisors is an integer number (279236220).

Almost surely, 2^10512323200 is an apocalyptic number.

10512323200 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 10512323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403338560).

10512323200 is an abundant number, since it is smaller than the sum of its proper divisors (16294353920).

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

10512323200 is a wasteful number, since it uses less digits than its factorization.

10512323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106026 (or 106009 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10512323200 its reverse (232321501), we get a palindrome (10744644701).

The spelling of 10512323200 in words is "ten billion, five hundred twelve million, three hundred twenty-three thousand, two hundred".