105115612 has 24 divisors (see below), whose sum is σ = 219373056. Its totient is φ = 43090608.

The previous prime is 105115601. The next prime is 105115613. The reversal of 105115612 is 216511501.

It is a happy number.

It is a super-3 number, since 3×105115612³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105115613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80968 + ... + 82255.

It is an arithmetic number, because the mean of its divisors is an integer number (9140544).

Almost surely, 2^105115612 is an apocalyptic number.

It is an amenable number.

105115612 is an abundant number, since it is smaller than the sum of its proper divisors (114257444).

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

105115612 is a wasteful number, since it uses less digits than its factorization.

105115612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163257 (or 163255 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 105115612 is about 10252.5905019171. The cubic root of 105115612 is about 471.9424843735.

The spelling of 105115612 in words is "one hundred five million, one hundred fifteen thousand, six hundred twelve".