106629306 has 32 divisors (see below), whose sum is σ = 244612608. Its totient is φ = 30354480.

The previous prime is 106629247. The next prime is 106629307. The reversal of 106629306 is 603926601.

It is a happy number.

It is a super-2 number, since 2×106629306² = 22739617796083272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106629307) 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 in 15 ways as a sum of consecutive naturals, for example, 7401 + ... + 16371.

It is an arithmetic number, because the mean of its divisors is an integer number (7644144).

Almost surely, 2^106629306 is an apocalyptic number.

106629306 is an abundant number, since it is smaller than the sum of its proper divisors (137983302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106629306 is a wasteful number, since it uses less digits than its factorization.

106629306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 106629306 is about 10326.1467159827. The cubic root of 106629306 is about 474.1970641724.

The spelling of 106629306 in words is "one hundred six million, six hundred twenty-nine thousand, three hundred six".