105546461341 has 12 divisors (see below), whose sum is σ = 112143306708. Its totient is φ = 99317453312.

The previous prime is 105546461323. The next prime is 105546461359. The reversal of 105546461341 is 143164645501.

It is an interprime number because it is at equal distance from previous prime (105546461323) and next prime (105546461359).

It can be written as a sum of positive squares in 6 ways, for example, as 23701834116 + 81844627225 = 153954^2 + 286085^2 .

It is not a de Polignac number, because 105546461341 - 2¹⁷ = 105546330269 is a prime.

It is a super-2 number, since 2×105546461341² (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 = 105546461294 and 105546461303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105546461441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1478625 + ... + 1548361.

It is an arithmetic number, because the mean of its divisors is an integer number (9345275559).

Almost surely, 2^105546461341 is an apocalyptic number.

It is an amenable number.

105546461341 is a deficient number, since it is larger than the sum of its proper divisors (6596845367).

105546461341 is an equidigital number, since it uses as much as digits as its factorization.

105546461341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75008 (or 74991 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 105546461341 in words is "one hundred five billion, five hundred forty-six million, four hundred sixty-one thousand, three hundred forty-one".