105606655345 has 16 divisors (see below), whose sum is σ = 133247074320. Its totient is φ = 80234784000.

The previous prime is 105606655339. The next prime is 105606655387. The reversal of 105606655345 is 543556606501.

It can be written as a sum of positive squares in 8 ways, for example, as 88228449 + 105518426896 = 9393^2 + 324836^2 .

It is not a de Polignac number, because 105606655345 - 2¹¹ = 105606653297 is a prime.

It is a super-2 number, since 2×105606655345² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105606655295 and 105606655304.

It is an unprimeable number.

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, 5961006 + ... + 5978695.

It is an arithmetic number, because the mean of its divisors is an integer number (8327942145).

Almost surely, 2^105606655345 is an apocalyptic number.

It is an amenable number.

105606655345 is a deficient number, since it is larger than the sum of its proper divisors (27640418975).

105606655345 is a wasteful number, since it uses less digits than its factorization.

105606655345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11939796.

The product of its (nonzero) digits is 1620000, while the sum is 46.

The spelling of 105606655345 in words is "one hundred five billion, six hundred six million, six hundred fifty-five thousand, three hundred forty-five".