105823343024 has 160 divisors (see below), whose sum is σ = 243432324096. Its totient is φ = 43621493760.

The previous prime is 105823343023. The next prime is 105823343039. The reversal of 105823343024 is 420343328501.

It is a Cunningham number, because it is equal to 325305²-1.

It is a super-2 number, since 2×105823343024² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105823343023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202338827 + ... + 202339349.

Almost surely, 2^105823343024 is an apocalyptic number.

105823343024 is a gapful number since it is divisible by the number (14) 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 105823343024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121716162048).

105823343024 is an abundant number, since it is smaller than the sum of its proper divisors (137608981072).

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

105823343024 is a wasteful number, since it uses less digits than its factorization.

105823343024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 105823343024 in words is "one hundred five billion, eight hundred twenty-three million, three hundred forty-three thousand, twenty-four".