105891940544 has 112 divisors (see below), whose sum is σ = 231161478240. Its totient is φ = 47832145920.

The previous prime is 105891940523. The next prime is 105891940549. The reversal of 105891940544 is 445049198501.

It is a happy number.

105891940544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105891940544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105891940492 and 105891940501.

It is not an unprimeable number, because it can be changed into a prime (105891940549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7949762 + ... + 7963070.

It is an arithmetic number, because the mean of its divisors is an integer number (2063941770).

Almost surely, 2^105891940544 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 105891940544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580739120).

105891940544 is an abundant number, since it is smaller than the sum of its proper divisors (125269537696).

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

105891940544 is a wasteful number, since it uses less digits than its factorization.

105891940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13538 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 105891940544 in words is "one hundred five billion, eight hundred ninety-one million, nine hundred forty thousand, five hundred forty-four".