206122103616 has 448 divisors, whose sum is σ = 675269038080. Its totient is φ = 54597058560.

The previous prime is 206122103609. The next prime is 206122103623. The reversal of 206122103616 is 616301221602.

It is an interprime number because it is at equal distance from previous prime (206122103609) and next prime (206122103623).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65041680 + ... + 65044848.

It is an arithmetic number, because the mean of its divisors is an integer number (1507296960).

Almost surely, 2^206122103616 is an apocalyptic number.

206122103616 is a gapful number since it is divisible by the number (26) 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 206122103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337634519040).

206122103616 is an abundant number, since it is smaller than the sum of its proper divisors (469146934464).

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

206122103616 is a wasteful number, since it uses less digits than its factorization.

206122103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 206122103616 in words is "two hundred six billion, one hundred twenty-two million, one hundred three thousand, six hundred sixteen".