105873917 has 2 divisors, whose sum is σ = 105873918. Its totient is φ = 105873916.

The previous prime is 105873883. The next prime is 105873919. The reversal of 105873917 is 719378501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84842521 + 21031396 = 9211^2 + 4586^2 .

It is an emirp because it is prime and its reverse (719378501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105873917 - 2¹² = 105869821 is a prime.

It is a super-2 number, since 2×105873917² = 22418572601845778, which contains 22 as substring.

Together with 105873919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105873919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52936958 + 52936959.

It is an arithmetic number, because the mean of its divisors is an integer number (52936959).

Almost surely, 2^105873917 is an apocalyptic number.

It is an amenable number.

105873917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105873917 is an equidigital number, since it uses as much as digits as its factorization.

105873917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 41.

The square root of 105873917 is about 10289.5051873256. The cubic root of 105873917 is about 473.0746321008.

The spelling of 105873917 in words is "one hundred five million, eight hundred seventy-three thousand, nine hundred seventeen".