105089917 has 2 divisors, whose sum is σ = 105089918. Its totient is φ = 105089916.

The previous prime is 105089911. The next prime is 105089923. The reversal of 105089917 is 719980501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105089911) and next prime (105089923).

It can be written as a sum of positive squares in only one way, i.e., 101828281 + 3261636 = 10091^2 + 1806^2 .

It is a cyclic number.

It is not a de Polignac number, because 105089917 - 2¹¹ = 105087869 is a prime.

It is a super-2 number, since 2×105089917² = 22087781310133778, 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 105089917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105089911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52544958 + 52544959.

It is an arithmetic number, because the mean of its divisors is an integer number (52544959).

Almost surely, 2^105089917 is an apocalyptic number.

It is an amenable number.

105089917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105089917 is an equidigital number, since it uses as much as digits as its factorization.

105089917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 40.

The square root of 105089917 is about 10251.3373273929. The cubic root of 105089917 is about 471.9040265582.

The spelling of 105089917 in words is "one hundred five million, eighty-nine thousand, nine hundred seventeen".