205712101 has 16 divisors (see below), whose sum is σ = 238412160. Its totient is φ = 173856960.

The previous prime is 205712081. The next prime is 205712131. The reversal of 205712101 is 101217502.

205712101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205712101 - 2⁷ = 205711973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205712131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200971 + ... + 201991.

It is an arithmetic number, because the mean of its divisors is an integer number (14900760).

Almost surely, 2^205712101 is an apocalyptic number.

It is an amenable number.

205712101 is a deficient number, since it is larger than the sum of its proper divisors (32700059).

205712101 is a wasteful number, since it uses less digits than its factorization.

205712101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 205712101 is about 14342.6671508475. The cubic root of 205712101 is about 590.3187983130.

Adding to 205712101 its reverse (101217502), we get a palindrome (306929603).

The spelling of 205712101 in words is "two hundred five million, seven hundred twelve thousand, one hundred one".