106871826209 has 2 divisors, whose sum is σ = 106871826210. Its totient is φ = 106871826208.

The previous prime is 106871826181. The next prime is 106871826227. The reversal of 106871826209 is 902628178601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62086685584 + 44785140625 = 249172^2 + 211625^2 .

It is a cyclic number.

It is not a de Polignac number, because 106871826209 - 2¹⁶ = 106871760673 is a prime.

It is a super-2 number, since 2×106871826209² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106871826709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53435913104 + 53435913105.

It is an arithmetic number, because the mean of its divisors is an integer number (53435913105).

Almost surely, 2^106871826209 is an apocalyptic number.

It is an amenable number.

106871826209 is a deficient number, since it is larger than the sum of its proper divisors (1).

106871826209 is an equidigital number, since it uses as much as digits as its factorization.

106871826209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 106871826209 in words is "one hundred six billion, eight hundred seventy-one million, eight hundred twenty-six thousand, two hundred nine".