204129900 has 216 divisors, whose sum is σ = 701413440. Its totient is φ = 49351680.

The previous prime is 204129847. The next prime is 204129923. The reversal of 204129900 is 9921402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 853981 + ... + 854219.

Almost surely, 2^204129900 is an apocalyptic number.

204129900 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 204129900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350706720).

204129900 is an abundant number, since it is smaller than the sum of its proper divisors (497283540).

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

204129900 is a wasteful number, since it uses less digits than its factorization.

204129900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 204129900 is about 14287.4035429815. The cubic root of 204129900 is about 588.8014546561.

The spelling of 204129900 in words is "two hundred four million, one hundred twenty-nine thousand, nine hundred".