206105410080 has 144 divisors (see below), whose sum is σ = 704485094040. Its totient is φ = 54871547904.

The previous prime is 206105410079. The next prime is 206105410123. The reversal of 206105410080 is 80014501602.

206105410080 is a `hidden beast` number, since 2 + 0 + 610 + 5 + 41 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45108662544 + 160996747536 = 212388^2 + 401244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765976 + ... + 999464.

Almost surely, 2^206105410080 is an apocalyptic number.

206105410080 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 206105410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352242547020).

206105410080 is an abundant number, since it is smaller than the sum of its proper divisors (498379683960).

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

206105410080 is a wasteful number, since it uses less digits than its factorization.

206105410080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234123 (or 234112 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 206105410080 its reverse (80014501602), we get a palindrome (286119911682).

The spelling of 206105410080 in words is "two hundred six billion, one hundred five million, four hundred ten thousand, eighty".