205132025100 has 144 divisors (see below), whose sum is σ = 639299082240. Its totient is φ = 50635622400.

The previous prime is 205132025089. The next prime is 205132025107. The reversal of 205132025100 is 1520231502.

It is not an unprimeable number, because it can be changed into a prime (205132025107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265605 + ... + 693404.

It is an arithmetic number, because the mean of its divisors is an integer number (4439576960).

Almost surely, 2^205132025100 is an apocalyptic number.

205132025100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205132025100 is an abundant number, since it is smaller than the sum of its proper divisors (434167057140).

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

205132025100 is a wasteful number, since it uses less digits than its factorization.

205132025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959080 (or 959073 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 205132025100 its reverse (1520231502), we get a palindrome (206652256602).

The spelling of 205132025100 in words is "two hundred five billion, one hundred thirty-two million, twenty-five thousand, one hundred".