106865321 has 2 divisors, whose sum is σ = 106865322. Its totient is φ = 106865320.

The previous prime is 106865303. The next prime is 106865323. The reversal of 106865321 is 123568601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94789696 + 12075625 = 9736^2 + 3475^2 .

It is a cyclic number.

It is not a de Polignac number, because 106865321 - 2¹⁰ = 106864297 is a prime.

It is a super-2 number, since 2×106865321² = 22840393664866082, which contains 22 as substring.

Together with 106865323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106865323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53432660 + 53432661.

It is an arithmetic number, because the mean of its divisors is an integer number (53432661).

Almost surely, 2^106865321 is an apocalyptic number.

It is an amenable number.

106865321 is a deficient number, since it is larger than the sum of its proper divisors (1).

106865321 is an equidigital number, since it uses as much as digits as its factorization.

106865321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 106865321 is about 10337.5684278267. The cubic root of 106865321 is about 474.5466714623.

The spelling of 106865321 in words is "one hundred six million, eight hundred sixty-five thousand, three hundred twenty-one".