206132100 has 36 divisors (see below), whose sum is σ = 596409744. Its totient is φ = 54968480.

The previous prime is 206132053. The next prime is 206132107. The reversal of 206132100 is 1231602.

206132100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 206132100.

It is not an unprimeable number, because it can be changed into a prime (206132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343254 + ... + 343853.

Almost surely, 2^206132100 is an apocalyptic number.

206132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206132100 is an abundant number, since it is smaller than the sum of its proper divisors (390277644).

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

206132100 is a wasteful number, since it uses less digits than its factorization.

206132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687124 (or 687117 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 206132100 is about 14357.3012784437. The cubic root of 206132100 is about 590.7202732565.

Adding to 206132100 its reverse (1231602), we get a palindrome (207363702).

The spelling of 206132100 in words is "two hundred six million, one hundred thirty-two thousand, one hundred".