205452100 has 108 divisors (see below), whose sum is σ = 541465344. Its totient is φ = 67341120.

The previous prime is 205452067. The next prime is 205452103. The reversal of 205452100 is 1254502.

205452100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205452103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111789 + ... + 113611.

It is an arithmetic number, because the mean of its divisors is an integer number (5013568).

Almost surely, 2^205452100 is an apocalyptic number.

205452100 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 205452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270732672).

205452100 is an abundant number, since it is smaller than the sum of its proper divisors (336013244).

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

205452100 is a wasteful number, since it uses less digits than its factorization.

205452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 205452100 is about 14333.6003851091. The cubic root of 205452100 is about 590.0699907392.

The spelling of 205452100 in words is "two hundred five million, four hundred fifty-two thousand, one hundred".