105605551061061 has 16 divisors (see below), whose sum is σ = 146934303719424. Its totient is φ = 67340451279024.

The previous prime is 105605551061041. The next prime is 105605551061077. The reversal of 105605551061061 is 160160155506501.

It is not a de Polignac number, because 105605551061061 - 2³⁵ = 105571191322693 is a prime.

It is a super-3 number, since 3×105605551061061³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605551061041) 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, 23104981 + ... + 27295626.

It is an arithmetic number, because the mean of its divisors is an integer number (9183393982464).

Almost surely, 2^{105605551061061} is an apocalyptic number.

It is an amenable number.

105605551061061 is a deficient number, since it is larger than the sum of its proper divisors (41328752658363).

105605551061061 is a wasteful number, since it uses less digits than its factorization.

105605551061061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50431000.

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 105605551061061 in words is "one hundred five trillion, six hundred five billion, five hundred fifty-one million, sixty-one thousand, sixty-one".