205131400 has 48 divisors (see below), whose sum is σ = 483004800. Its totient is φ = 81007680.

The previous prime is 205131361. The next prime is 205131427. The reversal of 205131400 is 4131502.

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, 9309 + ... + 22291.

It is an arithmetic number, because the mean of its divisors is an integer number (10062600).

Almost surely, 2^205131400 is an apocalyptic number.

205131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241502400).

205131400 is an abundant number, since it is smaller than the sum of its proper divisors (277873400).

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

205131400 is a wasteful number, since it uses less digits than its factorization.

205131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13069 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205131400 is about 14322.4090152460. The cubic root of 205131400 is about 589.7628080371.

Adding to 205131400 its reverse (4131502), we get a palindrome (209262902).

The spelling of 205131400 in words is "two hundred five million, one hundred thirty-one thousand, four hundred".