105033917 has 2 divisors, whose sum is σ = 105033918. Its totient is φ = 105033916.

The previous prime is 105033883. The next prime is 105033931. The reversal of 105033917 is 719330501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97990201 + 7043716 = 9899^2 + 2654^2 .

It is an emirp because it is prime and its reverse (719330501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105033917 - 2¹⁴ = 105017533 is a prime.

It is a super-2 number, since 2×105033917² = 22064247440725778, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105033917.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105033947) 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, 52516958 + 52516959.

It is an arithmetic number, because the mean of its divisors is an integer number (52516959).

Almost surely, 2^105033917 is an apocalyptic number.

It is an amenable number.

105033917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105033917 is an equidigital number, since it uses as much as digits as its factorization.

105033917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 105033917 is about 10248.6056124724. The cubic root of 105033917 is about 471.8201893971.

The spelling of 105033917 in words is "one hundred five million, thirty-three thousand, nine hundred seventeen".