204102457729 has 9 divisors (see below), whose sum is σ = 204826500801. Its totient is φ = 203380969860.

The previous prime is 204102457721. The next prime is 204102457747. The reversal of 204102457729 is 927754201402.

The square root of 204102457729 is 451777.

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

It is not a de Polignac number, because 204102457729 - 2³ = 204102457721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204102457721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165801544 + ... + 165802774.

It is an arithmetic number, because the mean of its divisors is an integer number (22758500089).

Almost surely, 2^204102457729 is an apocalyptic number.

204102457729 is the 451777-th square number.

204102457729 is the 225889-th centered octagonal number.

It is an amenable number.

204102457729 is a deficient number, since it is larger than the sum of its proper divisors (724043072).

204102457729 is an frugal number, since it uses more digits than its factorization.

204102457729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 204102457729 in words is "two hundred four billion, one hundred two million, four hundred fifty-seven thousand, seven hundred twenty-nine".