105184111041 has 9 divisors (see below), whose sum is σ = 151934010241. Its totient is φ = 70122092052.

The previous prime is 105184111003. The next prime is 105184111079. The reversal of 105184111041 is 140111481501.

The square root of 105184111041 is 324321.

It is a perfect power (a square), and thus also a powerful number.

105184111041 is a `hidden beast` number, since 1 + 0 + 518 + 41 + 1 + 104 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (105184111003) and next prime (105184111079).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 105184111041 - 2⁹ = 105184110529 is a prime.

It is a super-2 number, since 2×105184111041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105184110996 and 105184111014.

It is not an unprimeable number, because it can be changed into a prime (105184011041) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 918910 + ... + 1027016.

Almost surely, 2^105184111041 is an apocalyptic number.

105184111041 is the 324321-st square number.

105184111041 is the 162161-st centered octagonal number.

It is an amenable number.

105184111041 is a deficient number, since it is larger than the sum of its proper divisors (46749899200).

105184111041 is an frugal number, since it uses more digits than its factorization.

105184111041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216220 (or 108110 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 105184111041 its reverse (140111481501), we get a palindrome (245295592542).

It can be divided in two parts, 105184 and 111041, that added together give a square (216225 = 465²).

The spelling of 105184111041 in words is "one hundred five billion, one hundred eighty-four million, one hundred eleven thousand, forty-one".