105443127768 has 192 divisors, whose sum is σ = 310527463680. Its totient is φ = 29736495360.

The previous prime is 105443127743. The next prime is 105443127847. The reversal of 105443127768 is 867721344501.

It is a super-2 number, since 2×105443127768² (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 47 ways as a sum of consecutive naturals, for example, 2449971 + ... + 2492637.

It is an arithmetic number, because the mean of its divisors is an integer number (1617330540).

Almost surely, 2^105443127768 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 105443127768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155263731840).

105443127768 is an abundant number, since it is smaller than the sum of its proper divisors (205084335912).

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

105443127768 is a wasteful number, since it uses less digits than its factorization.

105443127768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42758 (or 42743 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 105443127768 in words is "one hundred five billion, four hundred forty-three million, one hundred twenty-seven thousand, seven hundred sixty-eight".