205105320 has 192 divisors, whose sum is σ = 767520000. Its totient is φ = 46531584.

The previous prime is 205105279. The next prime is 205105333. The reversal of 205105320 is 23501502.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 205105293 and 205105302.

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, 501276 + ... + 501684.

It is an arithmetic number, because the mean of its divisors is an integer number (3997500).

Almost surely, 2^205105320 is an apocalyptic number.

205105320 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 205105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383760000).

205105320 is an abundant number, since it is smaller than the sum of its proper divisors (562414680).

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

205105320 is a wasteful number, since it uses less digits than its factorization.

205105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205105320 is about 14321.4985249449. The cubic root of 205105320 is about 589.7378132192.

Adding to 205105320 its reverse (23501502), we get a palindrome (228606822).

The spelling of 205105320 in words is "two hundred five million, one hundred five thousand, three hundred twenty".