10424200 has 24 divisors (see below), whose sum is σ = 24236730. Its totient is φ = 4169600.

The previous prime is 10424191. The next prime is 10424201. The reversal of 10424200 is 242401.

10424200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8749764 + 1674436 = 2958^2 + 1294^2 .

It is not an unprimeable number, because it can be changed into a prime (10424201) 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, 25861 + ... + 26260.

Almost surely, 2^10424200 is an apocalyptic number.

10424200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424200 is an abundant number, since it is smaller than the sum of its proper divisors (13812530).

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

10424200 is a wasteful number, since it uses less digits than its factorization.

10424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52137 (or 52128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10424200 is about 3228.6529698932. The cubic root of 10424200 is about 218.4477512802.

Adding to 10424200 its reverse (242401), we get a palindrome (10666601).

The spelling of 10424200 in words is "ten million, four hundred twenty-four thousand, two hundred".