205103134400 has 168 divisors, whose sum is σ = 513092517120. Its totient is φ = 80684032000.

The previous prime is 205103134381. The next prime is 205103134417. The reversal of 205103134400 is 4431301502.

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, 27194630 + ... + 27202170.

Almost surely, 2^205103134400 is an apocalyptic number.

205103134400 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 205103134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256546258560).

205103134400 is an abundant number, since it is smaller than the sum of its proper divisors (307989382720).

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

205103134400 is a wasteful number, since it uses less digits than its factorization.

205103134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 205103134400 its reverse (4431301502), we get a palindrome (209534435902).

The spelling of 205103134400 in words is "two hundred five billion, one hundred three million, one hundred thirty-four thousand, four hundred".