106720129 has 2 divisors, whose sum is σ = 106720130. Its totient is φ = 106720128.

The previous prime is 106720121. The next prime is 106720139. The reversal of 106720129 is 921027601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93412225 + 13307904 = 9665^2 + 3648^2 .

It is a cyclic number.

It is not a de Polignac number, because 106720129 - 2³ = 106720121 is a prime.

It is a super-2 number, since 2×106720129² = 22778371867553282, which contains 22 as substring.

It is equal to p_6125725 and since 106720129 and 6125725 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 = 106720097 and 106720106.

It is not a weakly prime, because it can be changed into another prime (106720121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53360064 + 53360065.

It is an arithmetic number, because the mean of its divisors is an integer number (53360065).

Almost surely, 2^106720129 is an apocalyptic number.

It is an amenable number.

106720129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106720129 is an equidigital number, since it uses as much as digits as its factorization.

106720129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 106720129 is about 10330.5434997390. The cubic root of 106720129 is about 474.3316606213.

The spelling of 106720129 in words is "one hundred six million, seven hundred twenty thousand, one hundred twenty-nine".