206045000 has 180 divisors, whose sum is σ = 581614605. Its totient is φ = 68208000.

The previous prime is 206044999. The next prime is 206045009. The reversal of 206045000 is 540602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 13557124 + 192487876 = 3682^2 + 13874^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10150.

It is a self number, because there is not a number n which added to its sum of digits gives 206045000.

It is not an unprimeable number, because it can be changed into a prime (206045009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7104986 + ... + 7105014.

Almost surely, 2^206045000 is an apocalyptic number.

206045000 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 206045000

206045000 is an abundant number, since it is smaller than the sum of its proper divisors (375569605).

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

206045000 is an equidigital number, since it uses as much as digits as its factorization.

206045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 206045000 is about 14354.2676580869. The cubic root of 206045000 is about 590.6370596532.

Adding to 206045000 its reverse (540602), we get a palindrome (206585602).

The spelling of 206045000 in words is "two hundred six million, forty-five thousand".