105333306 has 48 divisors (see below), whose sum is σ = 231405696. Its totient is φ = 31943808.

The previous prime is 105333269. The next prime is 105333311. The reversal of 105333306 is 603333501.

It is a super-2 number, since 2×105333306² = 22190210705779272, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73311 + ... + 74733.

It is an arithmetic number, because the mean of its divisors is an integer number (4820952).

Almost surely, 2^105333306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105333306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115702848).

105333306 is an abundant number, since it is smaller than the sum of its proper divisors (126072390).

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

105333306 is a wasteful number, since it uses less digits than its factorization.

105333306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 105333306 is about 10263.2015472756. The cubic root of 105333306 is about 472.2680567050.

Adding to 105333306 its reverse (603333501), we get a palindrome (708666807).

The spelling of 105333306 in words is "one hundred five million, three hundred thirty-three thousand, three hundred six".