106312113 has 12 divisors (see below), whose sum is σ = 158515968. Its totient is φ = 68588280.

The previous prime is 106312109. The next prime is 106312123. The reversal of 106312113 is 311213601.

106312113 is a `hidden beast` number, since 1 + 0 + 631 + 21 + 13 = 666.

It is not a de Polignac number, because 106312113 - 2² = 106312109 is a prime.

It is a super-3 number, since 3×106312113³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106312123) 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 11 ways as a sum of consecutive naturals, for example, 190245 + ... + 190802.

It is an arithmetic number, because the mean of its divisors is an integer number (13209664).

Almost surely, 2^106312113 is an apocalyptic number.

It is an amenable number.

106312113 is a deficient number, since it is larger than the sum of its proper divisors (52203855).

106312113 is a wasteful number, since it uses less digits than its factorization.

106312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381084 (or 381081 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 106312113 is about 10310.7765468950. The cubic root of 106312113 is about 473.7263950014.

Adding to 106312113 its reverse (311213601), we get a palindrome (417525714).

The spelling of 106312113 in words is "one hundred six million, three hundred twelve thousand, one hundred thirteen".