205333101 has 12 divisors (see below), whose sum is σ = 299530140. Its totient is φ = 135532800.

The previous prime is 205333069. The next prime is 205333109. The reversal of 205333101 is 101333502.

205333101 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 2 ways, for example, as 107619876 + 97713225 = 10374^2 + 9885^2 .

It is not a de Polignac number, because 205333101 - 2⁵ = 205333069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205333109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112036 + ... + 113853.

It is an arithmetic number, because the mean of its divisors is an integer number (24960845).

Almost surely, 2^205333101 is an apocalyptic number.

It is an amenable number.

205333101 is a deficient number, since it is larger than the sum of its proper divisors (94197039).

205333101 is a wasteful number, since it uses less digits than its factorization.

205333101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225996 (or 225993 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 205333101 is about 14329.4487332905. The cubic root of 205333101 is about 589.9560447959.

Adding to 205333101 its reverse (101333502), we get a palindrome (306666603).

The spelling of 205333101 in words is "two hundred five million, three hundred thirty-three thousand, one hundred one".