106109133293 has 2 divisors, whose sum is σ = 106109133294. Its totient is φ = 106109133292.

The previous prime is 106109133239. The next prime is 106109133331. The reversal of 106109133293 is 392331901601.

Together with previous prime (106109133239) it forms an Ormiston pair, because they use the same digits, order apart.

It is an a-pointer prime, because the next prime (106109133331) can be obtained adding 106109133293 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86905271209 + 19203862084 = 294797^2 + 138578^2 .

It is a cyclic number.

It is not a de Polignac number, because 106109133293 - 2¹² = 106109129197 is a prime.

It is a super-2 number, since 2×106109133293² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106109133203) 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 as a sum of consecutive naturals, namely, 53054566646 + 53054566647.

It is an arithmetic number, because the mean of its divisors is an integer number (53054566647).

Almost surely, 2^106109133293 is an apocalyptic number.

It is an amenable number.

106109133293 is a deficient number, since it is larger than the sum of its proper divisors (1).

106109133293 is an equidigital number, since it uses as much as digits as its factorization.

106109133293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

The spelling of 106109133293 in words is "one hundred six billion, one hundred nine million, one hundred thirty-three thousand, two hundred ninety-three".