Search a number
-
+
105446917 is a prime number
BaseRepresentation
bin1100100100011…
…11111000000101
321100102020222101
412102033320011
5203443300132
614244032101
72420166262
oct622177005
9240366871
10105446917
1154581914
122b392631
1318accb34
141000c269
1593cd7e7
hex648fe05

105446917 has 2 divisors, whose sum is σ = 105446918. Its totient is φ = 105446916.

The previous prime is 105446911. The next prime is 105446921. The reversal of 105446917 is 719644501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104223681 + 1223236 = 10209^2 + 1106^2 .

It is an emirp because it is prime and its reverse (719644501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105446917 - 215 = 105414149 is a prime.

It is a super-2 number, since 2×1054469172 = 22238104609609778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105446911) 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, 52723458 + 52723459.

It is an arithmetic number, because the mean of its divisors is an integer number (52723459).

Almost surely, 2105446917 is an apocalyptic number.

It is an amenable number.

105446917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105446917 is an equidigital number, since it uses as much as digits as its factorization.

105446917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 105446917 is about 10268.7349269518. The cubic root of 105446917 is about 472.4377895569.

The spelling of 105446917 in words is "one hundred five million, four hundred forty-six thousand, nine hundred seventeen".