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105478189 is a prime number
BaseRepresentation
bin1100100100101…
…11100000101101
321100110211212121
412102113200231
5204000300224
614244432541
72420356405
oct622274055
9240424777
10105478189
11545a3363
122b3a8751
1318b1113b
1410019805
1593d7be4
hex649782d

105478189 has 2 divisors, whose sum is σ = 105478190. Its totient is φ = 105478188.

The previous prime is 105478171. The next prime is 105478223. The reversal of 105478189 is 981874501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58446025 + 47032164 = 7645^2 + 6858^2 .

It is a cyclic number.

It is not a de Polignac number, because 105478189 - 217 = 105347117 is a prime.

It is a super-2 number, since 2×1054781892 = 22251296709439442, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105478129) 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, 52739094 + 52739095.

It is an arithmetic number, because the mean of its divisors is an integer number (52739095).

Almost surely, 2105478189 is an apocalyptic number.

It is an amenable number.

105478189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105478189 is an equidigital number, since it uses as much as digits as its factorization.

105478189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 43.

The square root of 105478189 is about 10270.2574943377. The cubic root of 105478189 is about 472.4844879802.

The spelling of 105478189 in words is "one hundred five million, four hundred seventy-eight thousand, one hundred eighty-nine".