10251024200 has 96 divisors (see below), whose sum is σ = 24915072000. Its totient is φ = 3917721600.

The previous prime is 10251024193. The next prime is 10251024227. The reversal of 10251024200 is 242015201.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 479336 + ... + 500264.

It is an arithmetic number, because the mean of its divisors is an integer number (259532000).

Almost surely, 2^10251024200 is an apocalyptic number.

10251024200 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 10251024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457536000).

10251024200 is an abundant number, since it is smaller than the sum of its proper divisors (14664047800).

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

10251024200 is a wasteful number, since it uses less digits than its factorization.

10251024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055 (or 21046 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10251024200 its reverse (242015201), we get a palindrome (10493039401).

The spelling of 10251024200 in words is "ten billion, two hundred fifty-one million, twenty-four thousand, two hundred".