204030100 has 36 divisors (see below), whose sum is σ = 447151068. Its totient is φ = 80800000.

The previous prime is 204030089. The next prime is 204030133. The reversal of 204030100 is 1030402.

204030100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

204030100 is a nontrivial binomial coefficient, being equal to C(20201, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 11209104 + 192820996 = 3348^2 + 13886^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 20200.

It is an arithmetic number, because the mean of its divisors is an integer number (12420863).

Almost surely, 2^204030100 is an apocalyptic number.

204030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204030100 is the 20200-th triangular number.

204030100 is the 6734-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223575534).

204030100 is an abundant number, since it is smaller than the sum of its proper divisors (243120968).

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

204030100 is a wasteful number, since it uses less digits than its factorization.

204030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20316 (or 20309 counting only the distinct ones).

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

The square root of 204030100 is about 14283.9105289833. The cubic root of 204030100 is about 588.7054831462.

Adding to 204030100 its reverse (1030402), we get a palindrome (205060502).

The spelling of 204030100 in words is "two hundred four million, thirty thousand, one hundred".