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105666256103 is a prime number
BaseRepresentation
bin110001001101000110…
…0110001110011100111
3101002202001200222100212
41202122030301303213
53212401030143403
6120313054330035
710430336233412
oct1423214616347
9332661628325
10105666256103
11408a3935191
121858b4b991b
139c6c6c45c5
1451857d4b79
152b368ea4d8
hex189a331ce7

105666256103 has 2 divisors, whose sum is σ = 105666256104. Its totient is φ = 105666256102.

The previous prime is 105666256097. The next prime is 105666256123. The reversal of 105666256103 is 301652666501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105666256103 - 226 = 105599147239 is a prime.

It is a super-2 number, since 2×1056662561032 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105666256123) 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, 52833128051 + 52833128052.

It is an arithmetic number, because the mean of its divisors is an integer number (52833128052).

Almost surely, 2105666256103 is an apocalyptic number.

105666256103 is a deficient number, since it is larger than the sum of its proper divisors (1).

105666256103 is an equidigital number, since it uses as much as digits as its factorization.

105666256103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 105666256103 in words is "one hundred five billion, six hundred sixty-six million, two hundred fifty-six thousand, one hundred three".