312410442105 has 64 divisors (see below), whose sum is σ = 560839910400. Its totient is φ = 164987746560.

The previous prime is 312410442083. The next prime is 312410442109. The reversal of 312410442105 is 501244014213.

312410442105 is a `hidden beast` number, since 31 + 2 + 410 + 4 + 4 + 210 + 5 = 666.

It is not a de Polignac number, because 312410442105 - 2¹² = 312410438009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312410442109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27614400 + ... + 27625710.

It is an arithmetic number, because the mean of its divisors is an integer number (8763123600).

Almost surely, 2^312410442105 is an apocalyptic number.

It is an amenable number.

312410442105 is a deficient number, since it is larger than the sum of its proper divisors (248429468295).

312410442105 is a wasteful number, since it uses less digits than its factorization.

312410442105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13305 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 312410442105 its reverse (501244014213), we get a palindrome (813654456318).

The spelling of 312410442105 in words is "three hundred twelve billion, four hundred ten million, four hundred forty-two thousand, one hundred five".