105483516561 has 24 divisors (see below), whose sum is σ = 156589305600. Its totient is φ = 68375282976.

The previous prime is 105483516557. The next prime is 105483516571. The reversal of 105483516561 is 165615384501.

It is a happy number.

105483516561 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 83 + 5 + 1 + 6 + 561 = 666.

It is not a de Polignac number, because 105483516561 - 2² = 105483516557 is a prime.

It is a super-2 number, since 2×105483516561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105483516521) 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 23 ways as a sum of consecutive naturals, for example, 387040 + ... + 600638.

It is an arithmetic number, because the mean of its divisors is an integer number (6524554400).

Almost surely, 2^105483516561 is an apocalyptic number.

It is an amenable number.

105483516561 is a deficient number, since it is larger than the sum of its proper divisors (51105789039).

105483516561 is a wasteful number, since it uses less digits than its factorization.

105483516561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215125 (or 215122 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105483516561 in words is "one hundred five billion, four hundred eighty-three million, five hundred sixteen thousand, five hundred sixty-one".