205136100 has 216 divisors, whose sum is σ = 703783080. Its totient is φ = 49674240.

The previous prime is 205136081. The next prime is 205136119. The reversal of 205136100 is 1631502.

205136100 is a `hidden beast` number, since 2 + 0 + 51 + 3 + 610 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (205136081) and next prime (205136119).

It can be written as a sum of positive squares in 12 ways, for example, as 60559524 + 144576576 = 7782^2 + 12024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1041202 + ... + 1041398.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255).

Almost surely, 2^205136100 is an apocalyptic number.

205136100 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 205136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351891540).

205136100 is an abundant number, since it is smaller than the sum of its proper divisors (498646980).

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

205136100 is a wasteful number, since it uses less digits than its factorization.

205136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 205136100 is about 14322.5730928489. The cubic root of 205136100 is about 589.7673122459.

Adding to 205136100 its reverse (1631502), we get a palindrome (206767602).

The spelling of 205136100 in words is "two hundred five million, one hundred thirty-six thousand, one hundred".