105033105 has 48 divisors (see below), whose sum is σ = 190479744. Its totient is φ = 55520640.

The previous prime is 105033101. The next prime is 105033113. The reversal of 105033105 is 501330501.

It is a happy number.

It is not a de Polignac number, because 105033105 - 2² = 105033101 is a prime.

It is a super-2 number, since 2×105033105² = 22063906291882050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105033101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166140 + ... + 166770.

It is an arithmetic number, because the mean of its divisors is an integer number (3968328).

Almost surely, 2^105033105 is an apocalyptic number.

105033105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105033105 is a deficient number, since it is larger than the sum of its proper divisors (85446639).

105033105 is an equidigital number, since it uses as much as digits as its factorization.

105033105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105033105 is about 10248.5659972505. The cubic root of 105033105 is about 471.8189735391.

Adding to 105033105 its reverse (501330501), we get a palindrome (606363606).

The spelling of 105033105 in words is "one hundred five million, thirty-three thousand, one hundred five".