1105605610601 has 64 divisors (see below), whose sum is σ = 1272718540800. Its totient is φ = 954021888000.

The previous prime is 1105605610573. The next prime is 1105605610609. The reversal of 1105605610601 is 1060165065011.

It is a cyclic number.

It is not a de Polignac number, because 1105605610601 - 2²⁶ = 1105538501737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105605610609) 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 63 ways as a sum of consecutive naturals, for example, 864429080 + ... + 864430358.

It is an arithmetic number, because the mean of its divisors is an integer number (19886227200).

Almost surely, 2^{1105605610601} is an apocalyptic number.

It is an amenable number.

1105605610601 is a deficient number, since it is larger than the sum of its proper divisors (167112930199).

1105605610601 is a wasteful number, since it uses less digits than its factorization.

1105605610601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 1105605610601 in words is "one trillion, one hundred five billion, six hundred five million, six hundred ten thousand, six hundred one".