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105379526983 is a prime number
BaseRepresentation
bin110001000100100011…
…0111111100101000111
3101002000002011121221211
41202021012333211013
53211304124330413
6120224412552251
710420255125433
oct1421106774507
9332002147854
10105379526983
1140766aa5375
121850b482687
139c251920c3
1451596b79c3
152b1b65d83d
hex18891bf947

105379526983 has 2 divisors, whose sum is σ = 105379526984. Its totient is φ = 105379526982.

The previous prime is 105379526921. The next prime is 105379527007. The reversal of 105379526983 is 389625973501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105379526983 - 225 = 105345972551 is a prime.

It is a super-2 number, since 2×1053795269832 (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 (105379506983) 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, 52689763491 + 52689763492.

It is an arithmetic number, because the mean of its divisors is an integer number (52689763492).

Almost surely, 2105379526983 is an apocalyptic number.

105379526983 is a deficient number, since it is larger than the sum of its proper divisors (1).

105379526983 is an equidigital number, since it uses as much as digits as its factorization.

105379526983 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12247200, while the sum is 58.

The spelling of 105379526983 in words is "one hundred five billion, three hundred seventy-nine million, five hundred twenty-six thousand, nine hundred eighty-three".