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105352327 is a prime number
BaseRepresentation
bin1100100011110…
…00110010000111
321100020110020001
412101320302013
5203432233302
614242022131
72416323433
oct621706207
9240213201
10105352327
1154517843
122b347947
1318a98a72
14ddc59c3
1593b0787
hex6478c87

105352327 has 2 divisors, whose sum is σ = 105352328. Its totient is φ = 105352326.

The previous prime is 105352319. The next prime is 105352337. The reversal of 105352327 is 723253501.

It is a weak prime.

It is an emirp because it is prime and its reverse (723253501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105352327 - 23 = 105352319 is a prime.

It is a super-2 number, since 2×1053523272 = 22198225608629858, which contains 22 as substring.

It is equal to p6051763 and since 105352327 and 6051763 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 105352295 and 105352304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105352337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52676163 + 52676164.

It is an arithmetic number, because the mean of its divisors is an integer number (52676164).

Almost surely, 2105352327 is an apocalyptic number.

105352327 is a deficient number, since it is larger than the sum of its proper divisors (1).

105352327 is an equidigital number, since it uses as much as digits as its factorization.

105352327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105352327 is about 10264.1281656067. The cubic root of 105352327 is about 472.2964822505.

The spelling of 105352327 in words is "one hundred five million, three hundred fifty-two thousand, three hundred twenty-seven".