105505011 has 24 divisors (see below), whose sum is σ = 158536560. Its totient is φ = 70116192.

The previous prime is 105505007. The next prime is 105505021. The reversal of 105505011 is 110505501.

It is not a de Polignac number, because 105505011 - 2² = 105505007 is a prime.

It is a super-2 number, since 2×105505011² = 22262614692220242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505021) 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, 123261 + ... + 124113.

It is an arithmetic number, because the mean of its divisors is an integer number (6605690).

Almost surely, 2^105505011 is an apocalyptic number.

105505011 is a deficient number, since it is larger than the sum of its proper divisors (53031549).

105505011 is an frugal number, since it uses more digits than its factorization.

105505011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105505011 is about 10271.5632208540. The cubic root of 105505011 is about 472.5245338735.

The spelling of 105505011 in words is "one hundred five million, five hundred five thousand, eleven".