106312109 has 2 divisors, whose sum is σ = 106312110. Its totient is φ = 106312108.

The previous prime is 106312099. The next prime is 106312123. The reversal of 106312109 is 901213601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105124009 + 1188100 = 10253^2 + 1090^2 .

It is an emirp because it is prime and its reverse (901213601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106312109 - 2⁴ = 106312093 is a prime.

It is a super-2 number, since 2×106312109² = 22604529040055762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106312189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53156054 + 53156055.

It is an arithmetic number, because the mean of its divisors is an integer number (53156055).

Almost surely, 2^106312109 is an apocalyptic number.

It is an amenable number.

106312109 is a deficient number, since it is larger than the sum of its proper divisors (1).

106312109 is an equidigital number, since it uses as much as digits as its factorization.

106312109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 106312109 is about 10310.7763529232. The cubic root of 106312109 is about 473.7263890601.

The spelling of 106312109 in words is "one hundred six million, three hundred twelve thousand, one hundred nine".