206652068100 has 135 divisors (see below), whose sum is σ = 670017014821. Its totient is φ = 55096308000.

The previous prime is 206652068087. The next prime is 206652068237. The reversal of 206652068100 is 1860256602.

The square root of 206652068100 is 454590.

It is a perfect power (a square), and thus also a powerful number.

206652068100 is a `hidden beast` number, since 2 + 0 + 66 + 520 + 68 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74394744516 + 132257323584 = 272754^2 + 363672^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×206652068100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40910575 + ... + 40915625.

Almost surely, 2^206652068100 is an apocalyptic number.

206652068100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206652068100 is the 454590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206652068100

206652068100 is an abundant number, since it is smaller than the sum of its proper divisors (463364946721).

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

206652068100 is an frugal number, since it uses more digits than its factorization.

206652068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 206652068100 by its sum of digits (36), we get a square (7439474451600 = 2727540²).

206652068100 divided by its sum of digits (36) gives a square (5740335225 = 75765²).

The spelling of 206652068100 in words is "two hundred six billion, six hundred fifty-two million, sixty-eight thousand, one hundred".