11105051105601 has 24 divisors (see below), whose sum is σ = 16923868226720. Its totient is φ = 6997518481536.

The previous prime is 11105051105587. The next prime is 11105051105623. The reversal of 11105051105601 is 10650115050111.

11105051105601 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 5 + 0 + 51 + 1 + 0 + 5 + 601 = 666.

It is not a de Polignac number, because 11105051105601 - 2¹⁴ = 11105051089217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11105051104601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74916511 + ... + 75064596.

Almost surely, 2^{11105051105601} is an apocalyptic number.

It is an amenable number.

11105051105601 is a deficient number, since it is larger than the sum of its proper divisors (5818817121119).

11105051105601 is a wasteful number, since it uses less digits than its factorization.

11105051105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149981565 (or 149981562 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 11105051105601 its reverse (10650115050111), we get a palindrome (21755166155712).

The spelling of 11105051105601 in words is "eleven trillion, one hundred five billion, fifty-one million, one hundred five thousand, six hundred one".