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105694253281 is a prime number
BaseRepresentation
bin110001001101111011…
…1100101000011100001
3101002211000101101021101
41202123313211003201
53212430212101111
6120315534354401
710431126221011
oct1423367450341
9332730341241
10105694253281
1140908717951
121859895ba01
139c75447a96
145189401c41
152b390cabc1
hex189bde50e1

105694253281 has 2 divisors, whose sum is σ = 105694253282. Its totient is φ = 105694253280.

The previous prime is 105694253279. The next prime is 105694253309. The reversal of 105694253281 is 182352496501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70764512256 + 34929741025 = 266016^2 + 186895^2 .

It is a cyclic number.

It is not a de Polignac number, because 105694253281 - 21 = 105694253279 is a prime.

It is a super-2 number, since 2×1056942532812 (a number of 23 digits) contains 22 as substring.

Together with 105694253279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105694253201) 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, 52847126640 + 52847126641.

It is an arithmetic number, because the mean of its divisors is an integer number (52847126641).

Almost surely, 2105694253281 is an apocalyptic number.

It is an amenable number.

105694253281 is a deficient number, since it is larger than the sum of its proper divisors (1).

105694253281 is an equidigital number, since it uses as much as digits as its factorization.

105694253281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 105694253281 in words is "one hundred five billion, six hundred ninety-four million, two hundred fifty-three thousand, two hundred eighty-one".