105033839 has 8 divisors (see below), whose sum is σ = 107024112. Its totient is φ = 103062400.

The previous prime is 105033833. The next prime is 105033857. The reversal of 105033839 is 938330501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105033839 - 2²⁰ = 103985263 is a prime.

It is a super-2 number, since 2×105033839² = 22064214670155842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105033833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6812 + ... + 16014.

It is an arithmetic number, because the mean of its divisors is an integer number (13378014).

Almost surely, 2^105033839 is an apocalyptic number.

105033839 is a deficient number, since it is larger than the sum of its proper divisors (1990273).

105033839 is a wasteful number, since it uses less digits than its factorization.

105033839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 105033839 is about 10248.6018070759. The cubic root of 105033839 is about 471.8200726031.

The spelling of 105033839 in words is "one hundred five million, thirty-three thousand, eight hundred thirty-nine".