105605341461 has 8 divisors (see below), whose sum is σ = 156452357760. Its totient is φ = 70403560956.

The previous prime is 105605341451. The next prime is 105605341531. The reversal of 105605341461 is 164143506501.

105605341461 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 534 + 1 + 4 + 61 = 666.

It is not a de Polignac number, because 105605341461 - 2⁷ = 105605341333 is a prime.

It is a super-2 number, since 2×105605341461² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605341451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1955654445 + ... + 1955654498.

It is an arithmetic number, because the mean of its divisors is an integer number (19556544720).

Almost surely, 2^105605341461 is an apocalyptic number.

It is an amenable number.

105605341461 is a deficient number, since it is larger than the sum of its proper divisors (50847016299).

105605341461 is an equidigital number, since it uses as much as digits as its factorization.

105605341461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911308952 (or 3911308946 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 105605341461 its reverse (164143506501), we get a palindrome (269748847962).

The spelling of 105605341461 in words is "one hundred five billion, six hundred five million, three hundred forty-one thousand, four hundred sixty-one".