105344561661 has 16 divisors (see below), whose sum is σ = 143736158016. Its totient is φ = 68591569536.

The previous prime is 105344561587. The next prime is 105344561711. The reversal of 105344561661 is 166165443501.

It is not a de Polignac number, because 105344561661 - 2⁹ = 105344561149 is a prime.

It is a super-2 number, since 2×105344561661² (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 (105344561461) 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 15 ways as a sum of consecutive naturals, for example, 3026191 + ... + 3060803.

It is an arithmetic number, because the mean of its divisors is an integer number (8983509876).

Almost surely, 2^105344561661 is an apocalyptic number.

It is an amenable number.

105344561661 is a deficient number, since it is larger than the sum of its proper divisors (38391596355).

105344561661 is a wasteful number, since it uses less digits than its factorization.

105344561661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58252.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 105344561661 in words is "one hundred five billion, three hundred forty-four million, five hundred sixty-one thousand, six hundred sixty-one".