10004200 has 24 divisors (see below), whose sum is σ = 23260230. Its totient is φ = 4001600.

The previous prime is 10004191. The next prime is 10004201. The reversal of 10004200 is 240001.

It can be written as a sum of positive squares in 3 ways, for example, as 8213956 + 1790244 = 2866^2 + 1338^2 .

It is not an unprimeable number, because it can be changed into a prime (10004201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 24811 + ... + 25210.

Almost surely, 2^10004200 is an apocalyptic number.

10004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004200 is an abundant number, since it is smaller than the sum of its proper divisors (13256030).

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

10004200 is a wasteful number, since it uses less digits than its factorization.

10004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50037 (or 50028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10004200 is about 3162.9416687634. The cubic root of 10004200 is about 215.4736268671.

Adding to 10004200 its reverse (240001), we get a palindrome (10244201).

The spelling of 10004200 in words is "ten million, four thousand, two hundred".