205105500 has 96 divisors (see below), whose sum is σ = 663673920. Its totient is φ = 54691200.

The previous prime is 205105489. The next prime is 205105507. The reversal of 205105500 is 5501502.

205105500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205105500³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205105507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5904 + ... + 21096.

It is an arithmetic number, because the mean of its divisors is an integer number (6913270).

Almost surely, 2^205105500 is an apocalyptic number.

205105500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331836960).

205105500 is an abundant number, since it is smaller than the sum of its proper divisors (458568420).

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

205105500 is a wasteful number, since it uses less digits than its factorization.

205105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15221 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 205105500 is about 14321.5048092021. The cubic root of 205105500 is about 589.7379857367.

The spelling of 205105500 in words is "two hundred five million, one hundred five thousand, five hundred".