105966506856 has 64 divisors (see below), whose sum is σ = 302793079680. Its totient is φ = 30272981760.

The previous prime is 105966506843. The next prime is 105966506873. The reversal of 105966506856 is 658605669501.

It is a happy number.

105966506856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105966506856² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105966506796 and 105966506805.

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, 1925190 + ... + 1979466.

It is an arithmetic number, because the mean of its divisors is an integer number (4731141870).

Almost surely, 2^105966506856 is an apocalyptic number.

It is an amenable number.

105966506856 is an abundant number, since it is smaller than the sum of its proper divisors (196826572824).

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

105966506856 is a wasteful number, since it uses less digits than its factorization.

105966506856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65914 (or 65910 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 105966506856 in words is "one hundred five billion, nine hundred sixty-six million, five hundred six thousand, eight hundred fifty-six".