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106121 is a prime number
BaseRepresentation
bin11001111010001001
312101120102
4121322021
511343441
62135145
7621251
oct317211
9171512
10106121
1172804
12514b5
13393c2
142a961
152169b
hex19e89

106121 has 2 divisors, whose sum is σ = 106122. Its totient is φ = 106120.

The previous prime is 106109. The next prime is 106123. The reversal of 106121 is 121601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 3721 = 320^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 106121 - 210 = 105097 is a prime.

It is a super-2 number, since 2×1061212 = 22523333282, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 106123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106121.

It is not a weakly prime, because it can be changed into another prime (106123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53060 + 53061.

It is an arithmetic number, because the mean of its divisors is an integer number (53061).

2106121 is an apocalyptic number.

It is an amenable number.

106121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106121 is an equidigital number, since it uses as much as digits as its factorization.

106121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 106121 is about 325.7621831950. The cubic root of 106121 is about 47.3442358452.

Adding to 106121 its reverse (121601), we get a palindrome (227722).

The spelling of 106121 in words is "one hundred six thousand, one hundred twenty-one".