105203331 has 12 divisors (see below), whose sum is σ = 152065680. Its totient is φ = 70086960.

The previous prime is 105203303. The next prime is 105203341. The reversal of 105203331 is 133302501.

It is not a de Polignac number, because 105203331 - 2¹⁵ = 105170563 is a prime.

It is a super-2 number, since 2×105203331² = 22135481706991122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105203341) 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 11 ways as a sum of consecutive naturals, for example, 13801 + ... + 20021.

It is an arithmetic number, because the mean of its divisors is an integer number (12672140).

Almost surely, 2^105203331 is an apocalyptic number.

105203331 is a deficient number, since it is larger than the sum of its proper divisors (46862349).

105203331 is a wasteful number, since it uses less digits than its factorization.

105203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105203331 is about 10256.8675042627. The cubic root of 105203331 is about 472.0737265734.

Adding to 105203331 its reverse (133302501), we get a palindrome (238505832).

The spelling of 105203331 in words is "one hundred five million, two hundred three thousand, three hundred thirty-one".