105412320441 has 96 divisors (see below), whose sum is σ = 165044355840. Its totient is φ = 64677888000.

The previous prime is 105412320413. The next prime is 105412320467. The reversal of 105412320441 is 144023214501.

105412320441 is a `hidden beast` number, since 1 + 0 + 5 + 412 + 3 + 204 + 41 = 666.

It is not a de Polignac number, because 105412320441 - 2¹⁰ = 105412319417 is a prime.

It is a super-2 number, since 2×105412320441² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105412320841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119650321 + ... + 119651201.

It is an arithmetic number, because the mean of its divisors is an integer number (1719212040).

Almost surely, 2^105412320441 is an apocalyptic number.

It is an amenable number.

105412320441 is a deficient number, since it is larger than the sum of its proper divisors (59632035399).

105412320441 is a wasteful number, since it uses less digits than its factorization.

105412320441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 105412320441 its reverse (144023214501), we get a palindrome (249435534942).

The spelling of 105412320441 in words is "one hundred five billion, four hundred twelve million, three hundred twenty thousand, four hundred forty-one".