105833122592 has 54 divisors (see below), whose sum is σ = 210440989899. Its totient is φ = 52392999360.

The previous prime is 105833122589. The next prime is 105833122741. The reversal of 105833122592 is 295221338501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 52916561296 + 52916561296 = 230036^2 + 230036^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=230036.

It is a super-2 number, since 2×105833122592² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 241077509 + ... + 241077947.

Almost surely, 2^105833122592 is an apocalyptic number.

It is an amenable number.

105833122592 is a deficient number, since it is larger than the sum of its proper divisors (104607867307).

105833122592 is an frugal number, since it uses more digits than its factorization.

105833122592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 105833122592 in words is "one hundred five billion, eight hundred thirty-three million, one hundred twenty-two thousand, five hundred ninety-two".