205054101 has 24 divisors (see below), whose sum is σ = 338891904. Its totient is φ = 117038880.

The previous prime is 205054093. The next prime is 205054133. The reversal of 205054101 is 101450502.

It is not a de Polignac number, because 205054101 - 2³ = 205054093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205054141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84931 + ... + 87311.

It is an arithmetic number, because the mean of its divisors is an integer number (14120496).

Almost surely, 2^205054101 is an apocalyptic number.

205054101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205054101 is a deficient number, since it is larger than the sum of its proper divisors (133837803).

205054101 is a wasteful number, since it uses less digits than its factorization.

205054101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205054101 is about 14319.7102275151. The cubic root of 205054101 is about 589.6887192615.

The spelling of 205054101 in words is "two hundred five million, fifty-four thousand, one hundred one".