312105116 has 24 divisors (see below), whose sum is σ = 551250000. Its totient is φ = 154612224.

The previous prime is 312105113. The next prime is 312105119. The reversal of 312105116 is 611501213.

It is an interprime number because it is at equal distance from previous prime (312105113) and next prime (312105119).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312105113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249260 + ... + 250508.

It is an arithmetic number, because the mean of its divisors is an integer number (22968750).

Almost surely, 2^312105116 is an apocalyptic number.

It is an amenable number.

312105116 is a deficient number, since it is larger than the sum of its proper divisors (239144884).

312105116 is a wasteful number, since it uses less digits than its factorization.

312105116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 312105116 is about 17666.4969928959. The cubic root of 312105116 is about 678.3184489782.

Adding to 312105116 its reverse (611501213), we get a palindrome (923606329).

The spelling of 312105116 in words is "three hundred twelve million, one hundred five thousand, one hundred sixteen".