204668100 has 576 divisors, whose sum is σ = 874944000. Its totient is φ = 40642560.

The previous prime is 204668069. The next prime is 204668111. The reversal of 204668100 is 1866402.

204668100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204668100² = 83778062315220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12039292 + ... + 12039308.

It is an arithmetic number, because the mean of its divisors is an integer number (1519000).

Almost surely, 2^204668100 is an apocalyptic number.

204668100 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 204668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

204668100 is an abundant number, since it is smaller than the sum of its proper divisors (670275900).

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

204668100 is a wasteful number, since it uses less digits than its factorization.

204668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204668100 is about 14306.2259174109. The cubic root of 204668100 is about 589.3184699620.

The spelling of 204668100 in words is "two hundred four million, six hundred sixty-eight thousand, one hundred".