204098653416100 has 27 divisors (see below), whose sum is σ = 442894387926081. Its totient is φ = 81639404221200.

The previous prime is 204098653416089. The next prime is 204098653416113. The reversal of 204098653416100 is 1614356890402.

The square root of 204098653416100 is 14286310.

It is a perfect power (a square), and thus also a powerful number.

204098653416100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 73475515229796 + 130623138186304 = 8571786^2 + 11429048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142148785 + ... + 143577415.

Almost surely, 2^{204098653416100} is an apocalyptic number.

204098653416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204098653416100 is the 14286310-th square number.

It is an amenable number.

204098653416100 is an abundant number, since it is smaller than the sum of its proper divisors (238795734509981).

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

204098653416100 is an frugal number, since it uses more digits than its factorization.

204098653416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857276 (or 1428638 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 204098653416100 in words is "two hundred four trillion, ninety-eight billion, six hundred fifty-three million, four hundred sixteen thousand, one hundred".