206502100 has 72 divisors (see below), whose sum is σ = 515661440. Its totient is φ = 70312320.

The previous prime is 206502053. The next prime is 206502103. The reversal of 206502100 is 1205602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206502103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108961 + ... + 110839.

Almost surely, 2^206502100 is an apocalyptic number.

206502100 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 206502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257830720).

206502100 is an abundant number, since it is smaller than the sum of its proper divisors (309159340).

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

206502100 is a wasteful number, since it uses less digits than its factorization.

206502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 206502100 is about 14370.1809313592. The cubic root of 206502100 is about 591.0735028250.

Adding to 206502100 its reverse (1205602), we get a palindrome (207707702).

It can be divided in two parts, 206502 and 100, that added together give a palindrome (206602).

The spelling of 206502100 in words is "two hundred six million, five hundred two thousand, one hundred".