105605551061011 has 12 divisors (see below), whose sum is σ = 112273749431248. Its totient is φ = 99313109073792.

The previous prime is 105605551060883. The next prime is 105605551061041. The reversal of 105605551061011 is 110160155506501.

It is not a de Polignac number, because 105605551061011 - 2⁷ = 105605551060883 is a prime.

It is a super-3 number, since 3×105605551061011³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian 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 11 ways as a sum of consecutive naturals, for example, 147345471 + ... + 148060456.

Almost surely, 2^{105605551061011} is an apocalyptic number.

105605551061011 is a deficient number, since it is larger than the sum of its proper divisors (6668198370237).

105605551061011 is a wasteful number, since it uses less digits than its factorization.

105605551061011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295407198 (or 295407181 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 37.

The spelling of 105605551061011 in words is "one hundred five trillion, six hundred five billion, five hundred fifty-one million, sixty-one thousand, eleven".