106129229 has 2 divisors, whose sum is σ = 106129230. Its totient is φ = 106129228.

The previous prime is 106129189. The next prime is 106129271. The reversal of 106129229 is 922921601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104244100 + 1885129 = 10210^2 + 1373^2 .

It is a cyclic number.

It is not a de Polignac number, because 106129229 - 2⁸ = 106128973 is a prime.

It is a super-2 number, since 2×106129229² = 22526826496268882, which contains 22 as substring.

It is equal to p_6093761 and since 106129229 and 6093761 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 106129195 and 106129204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106149229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53064614 + 53064615.

It is an arithmetic number, because the mean of its divisors is an integer number (53064615).

Almost surely, 2^106129229 is an apocalyptic number.

It is an amenable number.

106129229 is a deficient number, since it is larger than the sum of its proper divisors (1).

106129229 is an equidigital number, since it uses as much as digits as its factorization.

106129229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 106129229 is about 10301.9041443803. The cubic root of 106129229 is about 473.4545956038.

The spelling of 106129229 in words is "one hundred six million, one hundred twenty-nine thousand, two hundred twenty-nine".