205012100 has 36 divisors (see below), whose sum is σ = 446458404. Its totient is φ = 81713280.

The previous prime is 205012097. The next prime is 205012121. The reversal of 205012100 is 1210502.

It can be written as a sum of positive squares in 6 ways, for example, as 350464 + 204661636 = 592^2 + 14306^2 .

It is a super-2 number, since 2×205012100² = 84059922292820000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 25802 + ... + 32798.

Almost surely, 2^205012100 is an apocalyptic number.

205012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205012100 is an abundant number, since it is smaller than the sum of its proper divisors (241446304).

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

205012100 is a wasteful number, since it uses less digits than its factorization.

205012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 205012100 is about 14318.2436073703. The cubic root of 205012100 is about 589.6484547541.

Adding to 205012100 its reverse (1210502), we get a palindrome (206222602).

The spelling of 205012100 in words is "two hundred five million, twelve thousand, one hundred".