106012729 has 2 divisors, whose sum is σ = 106012730. Its totient is φ = 106012728.

The previous prime is 106012657. The next prime is 106012741. The reversal of 106012729 is 927210601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95023504 + 10989225 = 9748^2 + 3315^2 .

It is a cyclic number.

It is not a de Polignac number, because 106012729 - 2¹⁹ = 105488441 is a prime.

It is a super-2 number, since 2×106012729² = 22477397420054882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106012697 and 106012706.

It is not a weakly prime, because it can be changed into another prime (106012789) 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, 53006364 + 53006365.

It is an arithmetic number, because the mean of its divisors is an integer number (53006365).

Almost surely, 2^106012729 is an apocalyptic number.

It is an amenable number.

106012729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106012729 is an equidigital number, since it uses as much as digits as its factorization.

106012729 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 106012729 is about 10296.2482973168. The cubic root of 106012729 is about 473.2812922463.

The spelling of 106012729 in words is "one hundred six million, twelve thousand, seven hundred twenty-nine".