105055116 has 24 divisors (see below), whose sum is σ = 249755184. Its totient is φ = 34357440.

The previous prime is 105055109. The next prime is 105055117. The reversal of 105055116 is 611550501.

It is a super-2 number, since 2×105055116² = 22073154795546912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81955 + ... + 83226.

It is an arithmetic number, because the mean of its divisors is an integer number (10406466).

Almost surely, 2^105055116 is an apocalyptic number.

It is an amenable number.

105055116 is an abundant number, since it is smaller than the sum of its proper divisors (144700068).

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

105055116 is a wasteful number, since it uses less digits than its factorization.

105055116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165241 (or 165239 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105055116 is about 10249.6397985490. The cubic root of 105055116 is about 471.8519297582.

The spelling of 105055116 in words is "one hundred five million, fifty-five thousand, one hundred sixteen".