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105688189 is a prime number
BaseRepresentation
bin1100100110010…
…10110001111101
321100212111221101
412103022301331
5204024010224
614253133101
72422222555
oct623126175
9240774841
10105688189
1154727112
122b48a191
1318b858b9
1410072165
15942a044
hex64cac7d

105688189 has 2 divisors, whose sum is σ = 105688190. Its totient is φ = 105688188.

The previous prime is 105688183. The next prime is 105688199. The reversal of 105688189 is 981886501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89927289 + 15760900 = 9483^2 + 3970^2 .

It is a cyclic number.

It is not a de Polignac number, because 105688189 - 23 = 105688181 is a prime.

It is a super-2 number, since 2×1056881892 = 22339986588199442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105688181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52844094 + 52844095.

It is an arithmetic number, because the mean of its divisors is an integer number (52844095).

Almost surely, 2105688189 is an apocalyptic number.

It is an amenable number.

105688189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105688189 is an equidigital number, since it uses as much as digits as its factorization.

105688189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 46.

The square root of 105688189 is about 10280.4761076518. The cubic root of 105688189 is about 472.7978417589.

The spelling of 105688189 in words is "one hundred five million, six hundred eighty-eight thousand, one hundred eighty-nine".