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106189 is a prime number
BaseRepresentation
bin11001111011001101
312101122221
4121323031
511344224
62135341
7621406
oct317315
9171587
10106189
1172866
1251551
1339445
142a9ad
15216e4
hex19ecd

106189 has 2 divisors, whose sum is σ = 106190. Its totient is φ = 106188.

The previous prime is 106187. The next prime is 106207. The reversal of 106189 is 981601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 24964 = 285^2 + 158^2 .

It is an emirp because it is prime and its reverse (981601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106189 - 21 = 106187 is a prime.

It is a super-2 number, since 2×1061892 = 22552207442, which contains 22 as substring.

Together with 106187, it forms a pair of twin primes.

106189 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106181) 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, 53094 + 53095.

It is an arithmetic number, because the mean of its divisors is an integer number (53095).

2106189 is an apocalyptic number.

It is an amenable number.

106189 is a deficient number, since it is larger than the sum of its proper divisors (1).

106189 is an equidigital number, since it uses as much as digits as its factorization.

106189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 106189 is about 325.8665370976. The cubic root of 106189 is about 47.3543460673.

The spelling of 106189 in words is "one hundred six thousand, one hundred eighty-nine".