205106550 has 96 divisors (see below), whose sum is σ = 558607104. Its totient is φ = 49392000.

The previous prime is 205106549. The next prime is 205106563. The reversal of 205106550 is 55601502.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205106550.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324735 + ... + 325365.

It is an arithmetic number, because the mean of its divisors is an integer number (5818824).

Almost surely, 2^205106550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205106550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279303552).

205106550 is an abundant number, since it is smaller than the sum of its proper divisors (353500554).

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

205106550 is a wasteful number, since it uses less digits than its factorization.

205106550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 205106550 is about 14321.5414673142. The cubic root of 205106550 is about 589.7389920869.

The spelling of 205106550 in words is "two hundred five million, one hundred six thousand, five hundred fifty".