105864641 has 2 divisors, whose sum is σ = 105864642. Its totient is φ = 105864640.

The previous prime is 105864631. The next prime is 105864643. The reversal of 105864641 is 146468501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84566416 + 21298225 = 9196^2 + 4615^2 .

It is an emirp because it is prime and its reverse (146468501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105864641 - 2¹⁰ = 105863617 is a prime.

It is a super-2 number, since 2×105864641² = 22414644428117762, which contains 22 as substring.

Together with 105864643, 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 (105864643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52932320 + 52932321.

It is an arithmetic number, because the mean of its divisors is an integer number (52932321).

Almost surely, 2^105864641 is an apocalyptic number.

It is an amenable number.

105864641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105864641 is an equidigital number, since it uses as much as digits as its factorization.

105864641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 105864641 is about 10289.0544269141. The cubic root of 105864641 is about 473.0608157660.

The spelling of 105864641 in words is "one hundred five million, eight hundred sixty-four thousand, six hundred forty-one".