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105235382171 is a prime number
BaseRepresentation
bin110001000000010000…
…1000111111110011011
3101001122000221022110002
41202000201013332123
53211010224212141
6120202223243215
710413554663243
oct1420041077633
9331560838402
10105235382171
11406a26a2227
121848b14950b
139c0136330a
1451444b4b23
152b0db88e9b
hex1880847f9b

105235382171 has 2 divisors, whose sum is σ = 105235382172. Its totient is φ = 105235382170.

The previous prime is 105235382143. The next prime is 105235382173. The reversal of 105235382171 is 171283532501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (171283532501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105235382171 is a prime.

It is a super-2 number, since 2×1052353821712 (a number of 23 digits) contains 22 as substring.

Together with 105235382173, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105235382173) 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, 52617691085 + 52617691086.

It is an arithmetic number, because the mean of its divisors is an integer number (52617691086).

Almost surely, 2105235382171 is an apocalyptic number.

105235382171 is a deficient number, since it is larger than the sum of its proper divisors (1).

105235382171 is an equidigital number, since it uses as much as digits as its factorization.

105235382171 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 105235382171 in words is "one hundred five billion, two hundred thirty-five million, three hundred eighty-two thousand, one hundred seventy-one".