204213100 has 72 divisors (see below), whose sum is σ = 545430368. Its totient is φ = 64627200.

The previous prime is 204213071. The next prime is 204213103. The reversal of 204213100 is 1312402.

It is a super-2 number, since 2×204213100² = 83405980423220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (204213103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2121 + ... + 20320.

Almost surely, 2^204213100 is an apocalyptic number.

204213100 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 204213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272715184).

204213100 is an abundant number, since it is smaller than the sum of its proper divisors (341217268).

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

204213100 is a wasteful number, since it uses less digits than its factorization.

204213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22475 (or 22468 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 204213100 is about 14290.3149020587. The cubic root of 204213100 is about 588.8814390630.

Adding to 204213100 its reverse (1312402), we get a palindrome (205525502).

The spelling of 204213100 in words is "two hundred four million, two hundred thirteen thousand, one hundred".