106129 has 2 divisors, whose sum is σ = 106130. Its totient is φ = 106128.

The previous prime is 106123. The next prime is 106163. The reversal of 106129 is 921601.

106129 is nontrivially palindromic in base 16.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 16129 = 300^2 + 127^2 .

It is an emirp because it is prime and its reverse (921601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106129 - 2³ = 106121 is a prime.

It is a super-2 number, since 2×106129² = 22526729282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53064 + 53065.

It is an arithmetic number, because the mean of its divisors is an integer number (53065).

2¹⁰⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

106129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106129 is an equidigital number, since it uses as much as digits as its factorization.

106129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 106129 is about 325.7744618597. The cubic root of 106129 is about 47.3454255072.

The spelling of 106129 in words is "one hundred six thousand, one hundred twenty-nine".