105333330 has 32 divisors (see below), whose sum is σ = 263793024. Its totient is φ = 26867456.

The previous prime is 105333323. The next prime is 105333331. The reversal of 105333330 is 33333501.

It is a super-2 number, since 2×105333330² = 22190220817777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105333297 and 105333306.

It is not an unprimeable number, because it can be changed into a prime (105333331) 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 in 15 ways as a sum of consecutive naturals, for example, 75639 + ... + 77018.

It is an arithmetic number, because the mean of its divisors is an integer number (8243532).

Almost surely, 2^105333330 is an apocalyptic number.

105333330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105333330 is an abundant number, since it is smaller than the sum of its proper divisors (158459694).

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

105333330 is a wasteful number, since it uses less digits than its factorization.

105333330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152690.

The product of its (nonzero) digits is 1215, while the sum is 21.

The square root of 105333330 is about 10263.2027165013. The cubic root of 105333330 is about 472.2680925735.

Adding to 105333330 its reverse (33333501), we get a palindrome (138666831).

The spelling of 105333330 in words is "one hundred five million, three hundred thirty-three thousand, three hundred thirty".