10387200 has 108 divisors (see below), whose sum is σ = 34343288. Its totient is φ = 2764800.

The previous prime is 10387199. The next prime is 10387207. The reversal of 10387200 is 278301.

10387200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387207) 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, 18930 + ... + 19470.

Almost surely, 2^10387200 is an apocalyptic number.

10387200 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 10387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171644).

10387200 is an abundant number, since it is smaller than the sum of its proper divisors (23956088).

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

10387200 is an equidigital number, since it uses as much as digits as its factorization.

10387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10387200 is about 3222.9179325574. The cubic root of 10387200 is about 218.1889896633.

The spelling of 10387200 in words is "ten million, three hundred eighty-seven thousand, two hundred".