205005100 has 36 divisors (see below), whose sum is σ = 447625864. Its totient is φ = 81492480.

The previous prime is 205005067. The next prime is 205005107. The reversal of 205005100 is 1500502.

It is not an unprimeable number, because it can be changed into a prime (205005107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10012 + ... + 22588.

Almost surely, 2^205005100 is an apocalyptic number.

205005100 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 205005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223812932).

205005100 is an abundant number, since it is smaller than the sum of its proper divisors (242620764).

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

205005100 is a wasteful number, since it uses less digits than its factorization.

205005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12754 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 205005100 is about 14317.9991618941. Note that the first 3 decimals coincide. The cubic root of 205005100 is about 589.6417436280.

Adding to 205005100 its reverse (1500502), we get a palindrome (206505602).

It can be divided in two parts, 20500 and 5100, that added together give a square (25600 = 160²).

The spelling of 205005100 in words is "two hundred five million, five thousand, one hundred".