105643065320 has 128 divisors (see below), whose sum is σ = 273176064000. Its totient is φ = 36422701056.

The previous prime is 105643065301. The next prime is 105643065329. The reversal of 105643065320 is 23560346501.

It is a super-2 number, since 2×105643065320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105643065329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075631 + ... + 1169729.

It is an arithmetic number, because the mean of its divisors is an integer number (2134188000).

Almost surely, 2^105643065320 is an apocalyptic number.

105643065320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105643065320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136588032000).

105643065320 is an abundant number, since it is smaller than the sum of its proper divisors (167532998680).

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

105643065320 is a wasteful number, since it uses less digits than its factorization.

105643065320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94267 (or 94263 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 105643065320 in words is "one hundred five billion, six hundred forty-three million, sixty-five thousand, three hundred twenty".