204020100 has 288 divisors, whose sum is σ = 714537600. Its totient is φ = 49766400.

The previous prime is 204019979. The next prime is 204020153. The reversal of 204020100 is 1020402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103252 + ... + 2103348.

Almost surely, 2^204020100 is an apocalyptic number.

204020100 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 204020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357268800).

204020100 is an abundant number, since it is smaller than the sum of its proper divisors (510517500).

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

204020100 is a wasteful number, since it uses less digits than its factorization.

204020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 204020100 is about 14283.5604804965. The cubic root of 204020100 is about 588.6958650375.

Adding to 204020100 its reverse (1020402), we get a palindrome (205040502).

The spelling of 204020100 in words is "two hundred four million, twenty thousand, one hundred".