206344100 has 72 divisors (see below), whose sum is σ = 468386688. Its totient is φ = 78825600.

The previous prime is 206344093. The next prime is 206344157. The reversal of 206344100 is 1443602.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201590 + ... + 202610.

Almost surely, 2^206344100 is an apocalyptic number.

206344100 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 206344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234193344).

206344100 is an abundant number, since it is smaller than the sum of its proper divisors (262042588).

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

206344100 is a wasteful number, since it uses less digits than its factorization.

206344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 206344100 is about 14364.6823842367. The cubic root of 206344100 is about 590.9227159132.

Adding to 206344100 its reverse (1443602), we get a palindrome (207787702).

The spelling of 206344100 in words is "two hundred six million, three hundred forty-four thousand, one hundred".