10389200 has 60 divisors (see below), whose sum is σ = 26292960. Its totient is φ = 3934080.

The previous prime is 10389191. The next prime is 10389233. The reversal of 10389200 is 298301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6917 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (438216).

Almost surely, 2^10389200 is an apocalyptic number.

10389200 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 10389200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146480).

10389200 is an abundant number, since it is smaller than the sum of its proper divisors (15903760).

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

10389200 is a wasteful number, since it uses less digits than its factorization.

10389200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10389200 is about 3223.2281954587. The cubic root of 10389200 is about 218.2029924736.

The spelling of 10389200 in words is "ten million, three hundred eighty-nine thousand, two hundred".