206275106000 has 80 divisors (see below), whose sum is σ = 499358009280. Its totient is φ = 82413302400.

The previous prime is 206275105997. The next prime is 206275106017. The reversal of 206275106000 is 601572602.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×206275106000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657967 + ... + 1778033.

It is an arithmetic number, because the mean of its divisors is an integer number (6241975116).

Almost surely, 2^206275106000 is an apocalyptic number.

206275106000 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 206275106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249679004640).

206275106000 is an abundant number, since it is smaller than the sum of its proper divisors (293082903280).

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

206275106000 is a wasteful number, since it uses less digits than its factorization.

206275106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120949 (or 120933 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 206275106000 its reverse (601572602), we get a palindrome (206876678602).

The spelling of 206275106000 in words is "two hundred six billion, two hundred seventy-five million, one hundred six thousand".