105333042 has 16 divisors (see below), whose sum is σ = 211186080. Its totient is φ = 35024352.

The previous prime is 105333029. The next prime is 105333049. The reversal of 105333042 is 240333501.

It is a super-2 number, since 2×105333042² = 22190099473947528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105333049) 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 7 ways as a sum of consecutive naturals, for example, 19008 + ... + 23915.

It is an arithmetic number, because the mean of its divisors is an integer number (13199130).

Almost surely, 2^105333042 is an apocalyptic number.

105333042 is an abundant number, since it is smaller than the sum of its proper divisors (105853038).

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

105333042 is a wasteful number, since it uses less digits than its factorization.

105333042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43337.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105333042 is about 10263.1886857838. The cubic root of 105333042 is about 472.2676621515.

Adding to 105333042 its reverse (240333501), we get a palindrome (345666543).

The spelling of 105333042 in words is "one hundred five million, three hundred thirty-three thousand, forty-two".