Search a number
-
+
105586991 is a prime number
BaseRepresentation
bin1100100101100…
…10000100101111
321100200101010022
412102302010233
5204012240431
614251032355
72421321536
oct622620457
9240611108
10105586991
1154668084
122b43b6bb
1318b4b813
141004731d
15940a07b
hex64b212f

105586991 has 2 divisors, whose sum is σ = 105586992. Its totient is φ = 105586990.

The previous prime is 105586967. The next prime is 105586993. The reversal of 105586991 is 199685501.

It is a strong prime.

It is an emirp because it is prime and its reverse (199685501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105586991 - 210 = 105585967 is a prime.

It is a super-2 number, since 2×1055869912 = 22297225336868162, which contains 22 as substring.

Together with 105586993, 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 (105586993) 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, 52793495 + 52793496.

It is an arithmetic number, because the mean of its divisors is an integer number (52793496).

Almost surely, 2105586991 is an apocalyptic number.

105586991 is a deficient number, since it is larger than the sum of its proper divisors (1).

105586991 is an equidigital number, since it uses as much as digits as its factorization.

105586991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 44.

The square root of 105586991 is about 10275.5530751391. The cubic root of 105586991 is about 472.6468899332.

The spelling of 105586991 in words is "one hundred five million, five hundred eighty-six thousand, nine hundred ninety-one".