105916861 has 2 divisors, whose sum is σ = 105916862. Its totient is φ = 105916860.

The previous prime is 105916841. The next prime is 105916871. The reversal of 105916861 is 168619501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105884100 + 32761 = 10290^2 + 181^2 .

It is an emirp because it is prime and its reverse (168619501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105916861 - 2¹¹ = 105914813 is a prime.

It is a super-2 number, since 2×105916861² = 22436762888186642, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105916861.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105916841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52958430 + 52958431.

It is an arithmetic number, because the mean of its divisors is an integer number (52958431).

Almost surely, 2^105916861 is an apocalyptic number.

It is an amenable number.

105916861 is a deficient number, since it is larger than the sum of its proper divisors (1).

105916861 is an equidigital number, since it uses as much as digits as its factorization.

105916861 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105916861 is about 10291.5917622105. The cubic root of 105916861 is about 473.1385854376.

The spelling of 105916861 in words is "one hundred five million, nine hundred sixteen thousand, eight hundred sixty-one".