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105842773639 is a prime number
BaseRepresentation
bin110001010010010111…
…0001000111010000111
3101010012100211222220101
41202210232020322013
53213231222224024
6120342401544531
710434611505661
oct1424456107207
9333170758811
10105842773639
1140984539449
121861a645147
139c9a149355
1451a1023531
152b47166c44
hex18a4b88e87

105842773639 has 2 divisors, whose sum is σ = 105842773640. Its totient is φ = 105842773638.

The previous prime is 105842773637. The next prime is 105842773727. The reversal of 105842773639 is 936377248501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105842773639 - 21 = 105842773637 is a prime.

It is a super-2 number, since 2×1058427736392 (a number of 23 digits) contains 22 as substring.

Together with 105842773637, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105842773639.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105842773633) 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, 52921386819 + 52921386820.

It is an arithmetic number, because the mean of its divisors is an integer number (52921386820).

It is a 1-persistent number, because it is pandigital, but 2⋅105842773639 = 211685547278 is not.

Almost surely, 2105842773639 is an apocalyptic number.

105842773639 is a deficient number, since it is larger than the sum of its proper divisors (1).

105842773639 is an equidigital number, since it uses as much as digits as its factorization.

105842773639 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 105842773639 in words is "one hundred five billion, eight hundred forty-two million, seven hundred seventy-three thousand, six hundred thirty-nine".