205540424100 has 180 divisors, whose sum is σ = 726852155568. Its totient is φ = 49827960000.

The previous prime is 205540423997. The next prime is 205540424107. The reversal of 205540424100 is 1424045502.

205540424100 is a `hidden beast` number, since 2 + 0 + 554 + 0 + 4 + 2 + 4 + 100 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205540424107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1064326 + ... + 1242525.

Almost surely, 2^205540424100 is an apocalyptic number.

205540424100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205540424100 is an abundant number, since it is smaller than the sum of its proper divisors (521311731468).

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

205540424100 is a wasteful number, since it uses less digits than its factorization.

205540424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306888 (or 2306872 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 205540424100 its reverse (1424045502), we get a palindrome (206964469602).

The spelling of 205540424100 in words is "two hundred five billion, five hundred forty million, four hundred twenty-four thousand, one hundred".