105392329216968 has 128 divisors (see below), whose sum is σ = 270316229783040. Its totient is φ = 34222003200000.

The previous prime is 105392329216963. The next prime is 105392329217051. The reversal of 105392329216968 is 869612923293501.

It is a super-2 number, since 2×105392329216968² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105392329216899 and 105392329216908.

It is not an unprimeable number, because it can be changed into a prime (105392329216963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5702730288 + ... + 5702748768.

It is an arithmetic number, because the mean of its divisors is an integer number (2111845545180).

Almost surely, 2^{105392329216968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105392329216968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135158114891520).

105392329216968 is an abundant number, since it is smaller than the sum of its proper divisors (164923900566072).

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

105392329216968 is a wasteful number, since it uses less digits than its factorization.

105392329216968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26999 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 105392329216968 in words is "one hundred five trillion, three hundred ninety-two billion, three hundred twenty-nine million, two hundred sixteen thousand, nine hundred sixty-eight".