10403200 has 48 divisors (see below), whose sum is σ = 25707060. Its totient is φ = 4160000.

The previous prime is 10403191. The next prime is 10403209. The reversal of 10403200 is 230401.

10403200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10403191) and next prime (10403209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1575 + ... + 4825.

Almost surely, 2^10403200 is an apocalyptic number.

10403200 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 10403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12853530).

10403200 is an abundant number, since it is smaller than the sum of its proper divisors (15303860).

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

10403200 is an equidigital number, since it uses as much as digits as its factorization.

10403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10403200 is about 3225.3992000991. The cubic root of 10403200 is about 218.3009618628.

Adding to 10403200 its reverse (230401), we get a palindrome (10633601).

The spelling of 10403200 in words is "ten million, four hundred three thousand, two hundred".