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105085744891 is a prime number
BaseRepresentation
bin110000111011110011…
…0010011011011111011
3101001020121100221200121
41201313212103123323
53210203422314031
6120135320114111
710410060044041
oct1416746233373
9331217327617
10105085744891
1140626188556
1218449005937
139ba936054a
14512c682391
152b0097c011
hex18779936fb

105085744891 has 2 divisors, whose sum is σ = 105085744892. Its totient is φ = 105085744890.

The previous prime is 105085744877. The next prime is 105085744943. The reversal of 105085744891 is 198447580501.

It is an a-pointer prime, because the next prime (105085744943) can be obtained adding 105085744891 to its sum of digits (52).

It is a weak prime.

It is an emirp because it is prime and its reverse (198447580501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105085744891 - 231 = 102938261243 is a prime.

It is a super-2 number, since 2×1050857448912 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105085744831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52542872445 + 52542872446.

It is an arithmetic number, because the mean of its divisors is an integer number (52542872446).

Almost surely, 2105085744891 is an apocalyptic number.

105085744891 is a deficient number, since it is larger than the sum of its proper divisors (1).

105085744891 is an equidigital number, since it uses as much as digits as its factorization.

105085744891 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 105085744891 in words is "one hundred five billion, eighty-five million, seven hundred forty-four thousand, eight hundred ninety-one".