105343327644 has 96 divisors (see below), whose sum is σ = 263301083136. Its totient is φ = 32663884800.

The previous prime is 105343327577. The next prime is 105343327669. The reversal of 105343327644 is 446723343501.

It is a happy number.

It is a super-2 number, since 2×105343327644² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105343327596 and 105343327605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12502417 + ... + 12510839.

It is an arithmetic number, because the mean of its divisors is an integer number (2742719616).

Almost surely, 2^105343327644 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 105343327644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131650541568).

105343327644 is an abundant number, since it is smaller than the sum of its proper divisors (157957755492).

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

105343327644 is a wasteful number, since it uses less digits than its factorization.

105343327644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9155 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 105343327644 in words is "one hundred five billion, three hundred forty-three million, three hundred twenty-seven thousand, six hundred forty-four".