105506116 has 12 divisors (see below), whose sum is σ = 185859520. Its totient is φ = 52403400.

The previous prime is 105506111. The next prime is 105506123. The reversal of 105506116 is 611605501.

It is a super-3 number, since 3×105506116³ (a number of 25 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 (105506111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86736 + ... + 87943.

Almost surely, 2^105506116 is an apocalyptic number.

It is an amenable number.

105506116 is a deficient number, since it is larger than the sum of its proper divisors (80353404).

105506116 is a wasteful number, since it uses less digits than its factorization.

105506116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174834 (or 174832 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105506116 is about 10271.6170099941. The cubic root of 105506116 is about 472.5261835196.

The spelling of 105506116 in words is "one hundred five million, five hundred six thousand, one hundred sixteen".