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105113191 is a prime number
BaseRepresentation
bin1100100001111…
…10011001100111
321022210022012011
412100332121213
5203402110231
614232535051
72414306311
oct620763147
9238708164
10105113191
1154374107
122b251487
1318a13c71
14dd627b1
1593649b1
hex643e667

105113191 has 2 divisors, whose sum is σ = 105113192. Its totient is φ = 105113190.

The previous prime is 105113179. The next prime is 105113209. The reversal of 105113191 is 191311501.

It is a weak prime.

It is an emirp because it is prime and its reverse (191311501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105113191 is a prime.

It is a super-2 number, since 2×1051131912 = 22097565844404962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105113101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52556595 + 52556596.

It is an arithmetic number, because the mean of its divisors is an integer number (52556596).

Almost surely, 2105113191 is an apocalyptic number.

105113191 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113191 is an equidigital number, since it uses as much as digits as its factorization.

105113191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 22.

The square root of 105113191 is about 10252.4724335157. The cubic root of 105113191 is about 471.9388611200.

Adding to 105113191 its reverse (191311501), we get a palindrome (296424692).

The spelling of 105113191 in words is "one hundred five million, one hundred thirteen thousand, one hundred ninety-one".