105435213 has 48 divisors (see below), whose sum is σ = 161274240. Its totient is φ = 61152000.

The previous prime is 105435203. The next prime is 105435221. The reversal of 105435213 is 312534501.

It is not a de Polignac number, because 105435213 - 2⁵ = 105435181 is a prime.

It is a super-2 number, since 2×105435213² = 22233168280710738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105435203) 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 47 ways as a sum of consecutive naturals, for example, 1043863 + ... + 1043963.

It is an arithmetic number, because the mean of its divisors is an integer number (3359880).

Almost surely, 2^105435213 is an apocalyptic number.

105435213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105435213 is a deficient number, since it is larger than the sum of its proper divisors (55839027).

105435213 is a wasteful number, since it uses less digits than its factorization.

105435213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105435213 is about 10268.1650259430. The cubic root of 105435213 is about 472.4203096197.

Adding to 105435213 its reverse (312534501), we get a palindrome (417969714).

The spelling of 105435213 in words is "one hundred five million, four hundred thirty-five thousand, two hundred thirteen".