205556132100 has 72 divisors (see below), whose sum is σ = 648809911008. Its totient is φ = 49831788800.

The previous prime is 205556132083. The next prime is 205556132137. The reversal of 205556132100 is 1231655502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31141569 + ... + 31148168.

It is an arithmetic number, because the mean of its divisors is an integer number (9011248764).

Almost surely, 2^205556132100 is an apocalyptic number.

205556132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205556132100 is an abundant number, since it is smaller than the sum of its proper divisors (443253778908).

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

205556132100 is a wasteful number, since it uses less digits than its factorization.

205556132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62289765 (or 62289758 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 205556132100 its reverse (1231655502), we get a palindrome (206787787602).

The spelling of 205556132100 in words is "two hundred five billion, five hundred fifty-six million, one hundred thirty-two thousand, one hundred".