105967763712 has 54 divisors (see below), whose sum is σ = 305531193422. Its totient is φ = 35322587136.

The previous prime is 105967763701. The next prime is 105967763731. The reversal of 105967763712 is 217367769501.

105967763712 is a `hidden beast` number, since 1 + 0 + 596 + 7 + 7 + 6 + 37 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70509367296 + 35458396416 = 265536^2 + 188304^2 .

It is a super-2 number, since 2×105967763712² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22994173 + ... + 22998780.

Almost surely, 2^105967763712 is an apocalyptic number.

105967763712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105967763712 is an abundant number, since it is smaller than the sum of its proper divisors (199563429710).

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

105967763712 is an equidigital number, since it uses as much as digits as its factorization.

105967763712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45992975 (or 45992958 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 105967763712 in words is "one hundred five billion, nine hundred sixty-seven million, seven hundred sixty-three thousand, seven hundred twelve".