105116116 has 12 divisors (see below), whose sum is σ = 210232288. Its totient is φ = 45049752.

The previous prime is 105116107. The next prime is 105116147. The reversal of 105116116 is 611611501.

105116116 is an admirable number.

It is a super-2 number, since 2×105116116² = 22098795685850912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1877046 + ... + 1877101.

Almost surely, 2^105116116 is an apocalyptic number.

It is an amenable number.

105116116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105116116 is a wasteful number, since it uses less digits than its factorization.

105116116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754158 (or 3754156 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 105116116 is about 10252.6150810415. The cubic root of 105116116 is about 471.9432386498.

Adding to 105116116 its reverse (611611501), we get a palindrome (716727617).

The spelling of 105116116 in words is "one hundred five million, one hundred sixteen thousand, one hundred sixteen".