Search a number
-
+
105494626597 is a prime number
BaseRepresentation
bin110001000111111111…
…0000100000100100101
3101002022002202021221111
41202033332010010211
53212023111022342
6120244043545021
710423153350013
oct1421776040445
9332262667844
10105494626597
1140815a6a418
1218541b2b171
139c42c91699
14516aab98b3
152b267e7217
hex188ff84125

105494626597 has 2 divisors, whose sum is σ = 105494626598. Its totient is φ = 105494626596.

The previous prime is 105494626579. The next prime is 105494626651. The reversal of 105494626597 is 795626494501.

Together with previous prime (105494626579) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105494390401 + 236196 = 324799^2 + 486^2 .

It is an emirp because it is prime and its reverse (795626494501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105494626597 - 211 = 105494624549 is a prime.

It is a super-2 number, since 2×1054946265972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105494626537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52747313298 + 52747313299.

It is an arithmetic number, because the mean of its divisors is an integer number (52747313299).

Almost surely, 2105494626597 is an apocalyptic number.

It is an amenable number.

105494626597 is a deficient number, since it is larger than the sum of its proper divisors (1).

105494626597 is an equidigital number, since it uses as much as digits as its factorization.

105494626597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 105494626597 in words is "one hundred five billion, four hundred ninety-four million, six hundred twenty-six thousand, five hundred ninety-seven".