204144330509100 has 108 divisors (see below), whose sum is σ = 644917480806144. Its totient is φ = 54009838592640.

The previous prime is 204144330509033. The next prime is 204144330509149. The reversal of 204144330509100 is 1905033441402.

204144330509100 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 43 + 3 + 0 + 509 + 100 = 666.

204144330509100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892905519 + ... + 893134118.

Almost surely, 2^{204144330509100} is an apocalyptic number.

204144330509100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204144330509100 is an abundant number, since it is smaller than the sum of its proper divisors (440773150297044).

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

204144330509100 is a wasteful number, since it uses less digits than its factorization.

204144330509100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786039784 (or 1786039774 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 204144330509100 in words is "two hundred four trillion, one hundred forty-four billion, three hundred thirty million, five hundred nine thousand, one hundred".