204117100 has 72 divisors (see below), whose sum is σ = 488437488. Its totient is φ = 73420800.

The previous prime is 204117077. The next prime is 204117103. The reversal of 204117100 is 1711402.

It is not an unprimeable number, because it can be changed into a prime (204117103) 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, 105744 + ... + 107656.

It is an arithmetic number, because the mean of its divisors is an integer number (6783854).

Almost surely, 2^204117100 is an apocalyptic number.

204117100 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 204117100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244218744).

204117100 is an abundant number, since it is smaller than the sum of its proper divisors (284320388).

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

204117100 is a wasteful number, since it uses less digits than its factorization.

204117100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 204117100 is about 14286.9555889280. The cubic root of 204117100 is about 588.7891474338.

Adding to 204117100 its reverse (1711402), we get a palindrome (205828502).

The spelling of 204117100 in words is "two hundred four million, one hundred seventeen thousand, one hundred".