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105418048717 is a prime number
BaseRepresentation
bin110001000101101100…
…1111100010011001101
3101002002202122201211201
41202023121330103031
53211344010024332
6120232310345501
710421233425622
oct1421331742315
9332082581751
10105418048717
1140786816313
121852035b291
139c3015bb27
145160864349
152b1ec1c5e7
hex188b67c4cd

105418048717 has 2 divisors, whose sum is σ = 105418048718. Its totient is φ = 105418048716.

The previous prime is 105418048709. The next prime is 105418048753. The reversal of 105418048717 is 717840814501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81048965481 + 24369083236 = 284691^2 + 156106^2 .

It is a cyclic number.

It is not a de Polignac number, because 105418048717 - 23 = 105418048709 is a prime.

It is a super-2 number, since 2×1054180487172 (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 (105418048217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52709024358 + 52709024359.

It is an arithmetic number, because the mean of its divisors is an integer number (52709024359).

Almost surely, 2105418048717 is an apocalyptic number.

It is an amenable number.

105418048717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105418048717 is an equidigital number, since it uses as much as digits as its factorization.

105418048717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 250880, while the sum is 46.

The spelling of 105418048717 in words is "one hundred five billion, four hundred eighteen million, forty-eight thousand, seven hundred seventeen".