205145600 has 240 divisors, whose sum is σ = 584534016. Its totient is φ = 70656000.

The previous prime is 205145573. The next prime is 205145609. The reversal of 205145600 is 6541502.

205145600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205145609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4364777 + ... + 4364823.

Almost surely, 2^205145600 is an apocalyptic number.

205145600 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 205145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292267008).

205145600 is an abundant number, since it is smaller than the sum of its proper divisors (379388416).

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

205145600 is a wasteful number, since it uses less digits than its factorization.

205145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205145600 is about 14322.9047333284. The cubic root of 205145600 is about 589.7764162879.

The spelling of 205145600 in words is "two hundred five million, one hundred forty-five thousand, six hundred".