105005433 has 32 divisors (see below), whose sum is σ = 157046400. Its totient is φ = 61963776.

The previous prime is 105005429. The next prime is 105005443. The reversal of 105005433 is 334500501.

It is not a de Polignac number, because 105005433 - 2² = 105005429 is a prime.

It is a super-2 number, since 2×105005433² = 22052281919034978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005443) 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 31 ways as a sum of consecutive naturals, for example, 256533 + ... + 256941.

It is an arithmetic number, because the mean of its divisors is an integer number (4907700).

Almost surely, 2^105005433 is an apocalyptic number.

105005433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105005433 is a deficient number, since it is larger than the sum of its proper divisors (52040967).

105005433 is a wasteful number, since it uses less digits than its factorization.

105005433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105005433 is about 10247.2158657852. The cubic root of 105005433 is about 471.7775347902. Note that the first 3 decimals are identical.

Adding to 105005433 its reverse (334500501), we get a palindrome (439505934).

The spelling of 105005433 in words is "one hundred five million, five thousand, four hundred thirty-three".