206105746100 has 36 divisors (see below), whose sum is σ = 452274763500. Its totient is φ = 81515976960.

The previous prime is 206105746081. The next prime is 206105746111. The reversal of 206105746100 is 1647501602.

It can be written as a sum of positive squares in 6 ways, for example, as 45367296016 + 160738450084 = 212996^2 + 400922^2 .

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 11 ways as a sum of consecutive naturals, for example, 11570075 + ... + 11587874.

It is an arithmetic number, because the mean of its divisors is an integer number (12563187875).

Almost surely, 2^206105746100 is an apocalyptic number.

206105746100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206105746100 is an abundant number, since it is smaller than the sum of its proper divisors (246169017400).

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

206105746100 is a wasteful number, since it uses less digits than its factorization.

206105746100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23158052 (or 23158045 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 206105746100 in words is "two hundred six billion, one hundred five million, seven hundred forty-six thousand, one hundred".