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105317189 is a prime number
BaseRepresentation
bin1100100011100…
…00001101000101
321100011200000122
412101300031011
5203430122224
614241151325
72416116125
oct621601505
9240150018
10105317189
11544a33aa
122b32b545
1318a85a83
14ddb6c85
1593a515e
hex6470345

105317189 has 2 divisors, whose sum is σ = 105317190. Its totient is φ = 105317188.

The previous prime is 105317143. The next prime is 105317213. The reversal of 105317189 is 981713501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103836100 + 1481089 = 10190^2 + 1217^2 .

It is a cyclic number.

It is not a de Polignac number, because 105317189 - 220 = 104268613 is a prime.

It is a super-2 number, since 2×1053171892 = 22183420597723442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105317129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52658594 + 52658595.

It is an arithmetic number, because the mean of its divisors is an integer number (52658595).

Almost surely, 2105317189 is an apocalyptic number.

It is an amenable number.

105317189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105317189 is an equidigital number, since it uses as much as digits as its factorization.

105317189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 35.

The square root of 105317189 is about 10262.4163333983. The cubic root of 105317189 is about 472.2439683047.

The spelling of 105317189 in words is "one hundred five million, three hundred seventeen thousand, one hundred eighty-nine".