105505405306461 has 20 divisors (see below), whose sum is σ = 157746438780700. Its totient is φ = 70274636600256.

The previous prime is 105505405306451. The next prime is 105505405306507. The reversal of 105505405306461 is 164603504505501.

105505405306461 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 54 + 0 + 530 + 6 + 4 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36784455470361 + 68720949836100 = 6065019^2 + 8289810^2 .

It is not a de Polignac number, because 105505405306461 - 2⁷ = 105505405306333 is a prime.

It is a super-2 number, since 2×105505405306461² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505405306451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 576762346 + ... + 576945243.

It is an arithmetic number, because the mean of its divisors is an integer number (7887321939035).

Almost surely, 2^{105505405306461} is an apocalyptic number.

It is an amenable number.

105505405306461 is a deficient number, since it is larger than the sum of its proper divisors (52241033474239).

105505405306461 is a wasteful number, since it uses less digits than its factorization.

105505405306461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153708730 (or 1153708721 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 105505405306461 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, four hundred sixty-one".