206512105200 has 120 divisors (see below), whose sum is σ = 670844670336. Its totient is φ = 54294240000.

The previous prime is 206512105081. The next prime is 206512105201. The reversal of 206512105200 is 2501215602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206512105201) 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, 1126726 + ... + 1297125.

Almost surely, 2^206512105200 is an apocalyptic number.

206512105200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206512105200 is an abundant number, since it is smaller than the sum of its proper divisors (464332565136).

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

206512105200 is a wasteful number, since it uses less digits than its factorization.

206512105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423943 (or 2423932 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 206512105200 in words is "two hundred six billion, five hundred twelve million, one hundred five thousand, two hundred".