105816405344 has 144 divisors (see below), whose sum is σ = 240210865440. Its totient is φ = 45704355840.

The previous prime is 105816405287. The next prime is 105816405379. The reversal of 105816405344 is 443504618501.

It is a super-2 number, since 2×105816405344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16637237 + ... + 16643595.

It is an arithmetic number, because the mean of its divisors is an integer number (1668131010).

Almost surely, 2^105816405344 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 105816405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120105432720).

105816405344 is an abundant number, since it is smaller than the sum of its proper divisors (134394460096).

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

105816405344 is a wasteful number, since it uses less digits than its factorization.

105816405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 105816405344 in words is "one hundred five billion, eight hundred sixteen million, four hundred five thousand, three hundred forty-four".