204334103204100 has 144 divisors (see below), whose sum is σ = 663273937056640. Its totient is φ = 53960073782400.

The previous prime is 204334103204071. The next prime is 204334103204107. The reversal of 204334103204100 is 1402301433402.

204334103204100 is a `hidden beast` number, since 2 + 0 + 4 + 33 + 410 + 3 + 204 + 10 + 0 = 666.

It is a super-3 number, since 3×204334103204100³ (a number of 44 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (204334103204107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367097131 + ... + 367653330.

Almost surely, 2^{204334103204100} is an apocalyptic number.

204334103204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204334103204100 is an abundant number, since it is smaller than the sum of its proper divisors (458939833852540).

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

204334103204100 is a wasteful number, since it uses less digits than its factorization.

204334103204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734750587 (or 734750574 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204334103204100 its reverse (1402301433402), we get a palindrome (205736404637502).

The spelling of 204334103204100 in words is "two hundred four trillion, three hundred thirty-four billion, one hundred three million, two hundred four thousand, one hundred".