206105600 has 132 divisors (see below), whose sum is σ = 522378024. Its totient is φ = 80609280.

The previous prime is 206105587. The next prime is 206105611. The reversal of 206105600 is 6501602.

206105600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2124752 + ... + 2124848.

Almost surely, 2^206105600 is an apocalyptic number.

206105600 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 206105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261189012).

206105600 is an abundant number, since it is smaller than the sum of its proper divisors (316272424).

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

206105600 is an equidigital number, since it uses as much as digits as its factorization.

206105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 206105600 is about 14356.3783733921. The cubic root of 206105600 is about 590.6949581663.

The spelling of 206105600 in words is "two hundred six million, one hundred five thousand, six hundred".