105321963168 has 36 divisors (see below), whose sum is σ = 299509333578. Its totient is φ = 35107320960.

The previous prime is 105321963163. The next prime is 105321963203. The reversal of 105321963168 is 861369123501.

105321963168 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 1 + 9 + 631 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64237916304 + 41084046864 = 253452^2 + 202692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105321963168² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105321963163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182850343 + ... + 182850918.

Almost surely, 2^105321963168 is an apocalyptic number.

105321963168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105321963168 is an abundant number, since it is smaller than the sum of its proper divisors (194187370410).

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

105321963168 is a wasteful number, since it uses less digits than its factorization.

105321963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365701277 (or 365701266 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 105321963168 in words is "one hundred five billion, three hundred twenty-one million, nine hundred sixty-three thousand, one hundred sixty-eight".