Search a number
-
+
105791671 is a prime number
BaseRepresentation
bin1100100111001…
…00000010110111
321101001202220001
412103210002313
5204040313141
614255252131
72423133346
oct623440267
9241052801
10105791671
1154797937
122b51a047
1318bc0a2b
141009bb5d
15944aa31
hex64e40b7

105791671 has 2 divisors, whose sum is σ = 105791672. Its totient is φ = 105791670.

The previous prime is 105791669. The next prime is 105791683. The reversal of 105791671 is 176197501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105791671 - 21 = 105791669 is a prime.

It is a super-2 number, since 2×1057916712 = 22383755305944482, which contains 22 as substring.

Together with 105791669, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105791671.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105791611) 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, 52895835 + 52895836.

It is an arithmetic number, because the mean of its divisors is an integer number (52895836).

Almost surely, 2105791671 is an apocalyptic number.

105791671 is a deficient number, since it is larger than the sum of its proper divisors (1).

105791671 is an equidigital number, since it uses as much as digits as its factorization.

105791671 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13230, while the sum is 37.

The square root of 105791671 is about 10285.5078143959. The cubic root of 105791671 is about 472.9521008966.

The spelling of 105791671 in words is "one hundred five million, seven hundred ninety-one thousand, six hundred seventy-one".