105605600601 has 16 divisors (see below), whose sum is σ = 149101271424. Its totient is φ = 66257443584.

The previous prime is 105605600561. The next prime is 105605600609. The reversal of 105605600601 is 106006506501.

It is not a de Polignac number, because 105605600601 - 2¹⁵ = 105605567833 is a prime.

It is a super-3 number, since 3×105605600601³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105605600609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696700 + ... + 834626.

It is an arithmetic number, because the mean of its divisors is an integer number (9318829464).

Almost surely, 2^105605600601 is an apocalyptic number.

It is an amenable number.

105605600601 is a deficient number, since it is larger than the sum of its proper divisors (43495670823).

105605600601 is a wasteful number, since it uses less digits than its factorization.

105605600601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152960.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105605600601 in words is "one hundred five billion, six hundred five million, six hundred thousand, six hundred one".