105399033 has 16 divisors (see below), whose sum is σ = 145544256. Its totient is φ = 67803840.

The previous prime is 105399017. The next prime is 105399059. The reversal of 105399033 is 330993501.

It is not a de Polignac number, because 105399033 - 2⁴ = 105399017 is a prime.

It is a super-2 number, since 2×105399033² = 22217912314670178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105398985 and 105399003.

It is not an unprimeable number, because it can be changed into a prime (105329033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4266 + ... + 15132.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^105399033 is an apocalyptic number.

It is an amenable number.

105399033 is a deficient number, since it is larger than the sum of its proper divisors (40145223).

105399033 is a wasteful number, since it uses less digits than its factorization.

105399033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984.

The product of its (nonzero) digits is 10935, while the sum is 33.

The square root of 105399033 is about 10266.4031189117. The cubic root of 105399033 is about 472.3662665673.

The spelling of 105399033 in words is "one hundred five million, three hundred ninety-nine thousand, thirty-three".