105307330 has 16 divisors (see below), whose sum is σ = 192767040. Its totient is φ = 41408752.

The previous prime is 105307327. The next prime is 105307331. The reversal of 105307330 is 33703501.

It is a super-2 number, since 2×105307330² = 22179267503457800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105307331) 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 7 ways as a sum of consecutive naturals, for example, 88654 + ... + 89833.

It is an arithmetic number, because the mean of its divisors is an integer number (12047940).

Almost surely, 2^105307330 is an apocalyptic number.

105307330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105307330 is a deficient number, since it is larger than the sum of its proper divisors (87459710).

105307330 is a wasteful number, since it uses less digits than its factorization.

105307330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178553.

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 105307330 is about 10261.9359771926. The cubic root of 105307330 is about 472.2292318734.

The spelling of 105307330 in words is "one hundred five million, three hundred seven thousand, three hundred thirty".