106029309 has 32 divisors (see below), whose sum is σ = 150698880. Its totient is φ = 66223872.

The previous prime is 106029293. The next prime is 106029311. The reversal of 106029309 is 903920601.

It is not a de Polignac number, because 106029309 - 2⁴ = 106029293 is a prime.

It is a super-2 number, since 2×106029309² = 22484428734034962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106029109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394027 + ... + 394295.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2^106029309 is an apocalyptic number.

It is an amenable number.

106029309 is a deficient number, since it is larger than the sum of its proper divisors (44669571).

106029309 is a wasteful number, since it uses less digits than its factorization.

106029309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 106029309 is about 10297.0534134771. The cubic root of 106029309 is about 473.3059641099.

The spelling of 106029309 in words is "one hundred six million, twenty-nine thousand, three hundred nine".