105223017728 has 144 divisors (see below), whose sum is σ = 218874258960. Its totient is φ = 50445877248.

The previous prime is 105223017703. The next prime is 105223017751. The reversal of 105223017728 is 827710322501.

It can be written as a sum of positive squares in 8 ways, for example, as 34015162624 + 71207855104 = 184432^2 + 266848^2 .

It is a super-2 number, since 2×105223017728² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105223017691 and 105223017700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257268788 + ... + 257269196.

Almost surely, 2^105223017728 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 105223017728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109437129480).

105223017728 is an abundant number, since it is smaller than the sum of its proper divisors (113651241232).

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

105223017728 is a wasteful number, since it uses less digits than its factorization.

105223017728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 105223017728 in words is "one hundred five billion, two hundred twenty-three million, seventeen thousand, seven hundred twenty-eight".