Search a number
-
+
105366971 is a prime number
BaseRepresentation
bin1100100011111…
…00010110111011
321100021012022102
412101330112323
5203433220341
614242214015
72416414223
oct621742673
9240235272
10105366971
1154527846
122b35430b
1318aa2628
14ddcb083
1593b4c9b
hex647c5bb

105366971 has 2 divisors, whose sum is σ = 105366972. Its totient is φ = 105366970.

The previous prime is 105366917. The next prime is 105366991. The reversal of 105366971 is 179663501.

Together with previous prime (105366917) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105366971 - 210 = 105365947 is a prime.

It is a super-2 number, since 2×1053669712 = 22204397155429682, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105366991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52683485 + 52683486.

It is an arithmetic number, because the mean of its divisors is an integer number (52683486).

Almost surely, 2105366971 is an apocalyptic number.

105366971 is a deficient number, since it is larger than the sum of its proper divisors (1).

105366971 is an equidigital number, since it uses as much as digits as its factorization.

105366971 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 105366971 is about 10264.8414990198. The cubic root of 105366971 is about 472.3183643467.

The spelling of 105366971 in words is "one hundred five million, three hundred sixty-six thousand, nine hundred seventy-one".