105852209766 has 16 divisors (see below), whose sum is σ = 211989360384. Its totient is φ = 35236579784.

The previous prime is 105852209759. The next prime is 105852209797. The reversal of 105852209766 is 667902258501.

It is a super-2 number, since 2×105852209766² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11867706 + ... + 11876621.

It is an arithmetic number, because the mean of its divisors is an integer number (13249335024).

Almost surely, 2^105852209766 is an apocalyptic number.

105852209766 is an abundant number, since it is smaller than the sum of its proper divisors (106137150618).

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

105852209766 is a wasteful number, since it uses less digits than its factorization.

105852209766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23745075.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 105852209766 in words is "one hundred five billion, eight hundred fifty-two million, two hundred nine thousand, seven hundred sixty-six".