106305306 has 16 divisors (see below), whose sum is σ = 212797344. Its totient is φ = 35403984.

The previous prime is 106305289. The next prime is 106305313. The reversal of 106305306 is 603503601.

It is a super-3 number, since 3×106305306³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 261 + ... + 14583.

It is an arithmetic number, because the mean of its divisors is an integer number (13299834).

Almost surely, 2^106305306 is an apocalyptic number.

106305306 is an abundant number, since it is smaller than the sum of its proper divisors (106492038).

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

106305306 is a wasteful number, since it uses less digits than its factorization.

106305306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 106305306 is about 10310.4464500816. The cubic root of 106305306 is about 473.7162841297.

Adding to 106305306 its reverse (603503601), we get a palindrome (709808907).

The spelling of 106305306 in words is "one hundred six million, three hundred five thousand, three hundred six".