205120050 has 48 divisors (see below), whose sum is σ = 510449472. Its totient is φ = 54510400.

The previous prime is 205120043. The next prime is 205120051. The reversal of 205120050 is 50021502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205120051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44452 + ... + 48848.

It is an arithmetic number, because the mean of its divisors is an integer number (10634364).

Almost surely, 2^205120050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205120050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255224736).

205120050 is an abundant number, since it is smaller than the sum of its proper divisors (305329422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205120050 is a wasteful number, since it uses less digits than its factorization.

205120050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4723 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205120050 is about 14322.0127775393. The cubic root of 205120050 is about 589.7519305681.

Adding to 205120050 its reverse (50021502), we get a palindrome (255141552).

The spelling of 205120050 in words is "two hundred five million, one hundred twenty thousand, fifty".