204010000 has 100 divisors (see below), whose sum is σ = 515984832. Its totient is φ = 77968000.

The previous prime is 204009947. The next prime is 204010019. The reversal of 204010000 is 10402.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229557 + ... + 230443.

Almost surely, 2^204010000 is an apocalyptic number.

204010000 is a gapful number since it is divisible by the number (20) 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 204010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257992416).

204010000 is an abundant number, since it is smaller than the sum of its proper divisors (311974832).

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

204010000 is an equidigital number, since it uses as much as digits as its factorization.

204010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 917 counting only the distinct ones).

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

The square root of 204010000 is about 14283.2069228167. The cubic root of 204010000 is about 588.6861504287.

Adding to 204010000 its reverse (10402), we get a palindrome (204020402).

The spelling of 204010000 in words is "two hundred four million, ten thousand".