105606055611 has 64 divisors (see below), whose sum is σ = 183983063040. Its totient is φ = 58620931200.

The previous prime is 105606055601. The next prime is 105606055619. The reversal of 105606055611 is 116550606501.

It is not a de Polignac number, because 105606055611 - 2⁵ = 105606055579 is a prime.

It is a super-3 number, since 3×105606055611³ (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 (105606055619) 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, 959526 + ... + 1063908.

It is an arithmetic number, because the mean of its divisors is an integer number (2874735360).

Almost surely, 2^105606055611 is an apocalyptic number.

105606055611 is a deficient number, since it is larger than the sum of its proper divisors (78377007429).

105606055611 is a wasteful number, since it uses less digits than its factorization.

105606055611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104553 (or 104547 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105606055611 in words is "one hundred five billion, six hundred six million, fifty-five thousand, six hundred eleven".