206645264100 has 1080 divisors, whose sum is σ = 784483539840. Its totient is φ = 46919347200.

The previous prime is 206645264081. The next prime is 206645264149. The reversal of 206645264100 is 1462546602.

206645264100 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 4 + 5 + 2 + 641 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2006264649 + ... + 2006264751.

It is an arithmetic number, because the mean of its divisors is an integer number (726373648).

Almost surely, 2^206645264100 is an apocalyptic number.

206645264100 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 206645264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392241769920).

206645264100 is an abundant number, since it is smaller than the sum of its proper divisors (577838275740).

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

206645264100 is a wasteful number, since it uses less digits than its factorization.

206645264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 206645264100 in words is "two hundred six billion, six hundred forty-five million, two hundred sixty-four thousand, one hundred".