205500120 has 96 divisors (see below), whose sum is σ = 717174000. Its totient is φ = 46970112.

The previous prime is 205500103. The next prime is 205500157. The reversal of 205500120 is 21005502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 205500120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11595 + ... + 23354.

Almost surely, 2^205500120 is an apocalyptic number.

205500120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205500120 is an abundant number, since it is smaller than the sum of its proper divisors (511673880).

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

205500120 is a wasteful number, since it uses less digits than its factorization.

205500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34977 (or 34966 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205500120 is about 14335.2753723115. The cubic root of 205500120 is about 590.1159592053.

Adding to 205500120 its reverse (21005502), we get a palindrome (226505622).

The spelling of 205500120 in words is "two hundred five million, five hundred thousand, one hundred twenty".