205580101 has 8 divisors (see below), whose sum is σ = 212997600. Its totient is φ = 198184560.

The previous prime is 205580087. The next prime is 205580113. The reversal of 205580101 is 101085502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205580101 - 2¹⁵ = 205547333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205580701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14910 + ... + 25168.

It is an arithmetic number, because the mean of its divisors is an integer number (26624700).

Almost surely, 2^205580101 is an apocalyptic number.

It is an amenable number.

205580101 is a deficient number, since it is larger than the sum of its proper divisors (7417499).

205580101 is a wasteful number, since it uses less digits than its factorization.

205580101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979.

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 205580101 is about 14338.0647578395. The cubic root of 205580101 is about 590.1925073239.

The spelling of 205580101 in words is "two hundred five million, five hundred eighty thousand, one hundred one".