204992100 has 144 divisors (see below), whose sum is σ = 687872640. Its totient is φ = 52272000.

The previous prime is 204992071. The next prime is 204992111. The reversal of 204992100 is 1299402.

It is a super-2 number, since 2×204992100² = 84043522124820000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60450 + ... + 63750.

Almost surely, 2^204992100 is an apocalyptic number.

204992100 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 204992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343936320).

204992100 is an abundant number, since it is smaller than the sum of its proper divisors (482880540).

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

204992100 is a wasteful number, since it uses less digits than its factorization.

204992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3334 counting only the distinct ones).

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

The square root of 204992100 is about 14317.5451806516. The cubic root of 204992100 is about 589.6292797028.

It can be divided in two parts, 2049 and 92100, that added together give a palindrome (94149).

The spelling of 204992100 in words is "two hundred four million, nine hundred ninety-two thousand, one hundred".