10032023200 has 72 divisors (see below), whose sum is σ = 24571052352. Its totient is φ = 3999640320.

The previous prime is 10032023189. The next prime is 10032023201. The reversal of 10032023200 is 232023001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10032023201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225177 + ... + 266023.

It is an arithmetic number, because the mean of its divisors is an integer number (341264616).

Almost surely, 2^10032023200 is an apocalyptic number.

10032023200 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 10032023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12285526176).

10032023200 is an abundant number, since it is smaller than the sum of its proper divisors (14539029152).

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

10032023200 is a wasteful number, since it uses less digits than its factorization.

10032023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41174 (or 41161 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10032023200 its reverse (232023001), we get a palindrome (10264046201).

The spelling of 10032023200 in words is "ten billion, thirty-two million, twenty-three thousand, two hundred".