Search a number
-
+
105009199 is a prime number
BaseRepresentation
bin1100100001001…
…01000000101111
321022121000112121
412100211000233
5203340243244
614230413411
72413364161
oct620450057
9238530477
10105009199
1154302a69
122b201267
13189a8829
14dd36931
159343c84
hex642502f

105009199 has 2 divisors, whose sum is σ = 105009200. Its totient is φ = 105009198.

The previous prime is 105009173. The next prime is 105009209. The reversal of 105009199 is 991900501.

It is a strong prime.

It is an emirp because it is prime and its reverse (991900501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105009199 - 213 = 105001007 is a prime.

It is a super-2 number, since 2×1050091992 = 22053863749243202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105009109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52504599 + 52504600.

It is an arithmetic number, because the mean of its divisors is an integer number (52504600).

Almost surely, 2105009199 is an apocalyptic number.

105009199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105009199 is an equidigital number, since it uses as much as digits as its factorization.

105009199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645, while the sum is 34.

The square root of 105009199 is about 10247.3996213674. The cubic root of 105009199 is about 471.7831747934.

The spelling of 105009199 in words is "one hundred five million, nine thousand, one hundred ninety-nine".