105413213 has 4 divisors (see below), whose sum is σ = 105712188. Its totient is φ = 105114240.

The previous prime is 105413201. The next prime is 105413219. The reversal of 105413213 is 312314501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312314501 = 4243 ⋅73607.

It can be written as a sum of positive squares in 2 ways, for example, as 71284249 + 34128964 = 8443^2 + 5842^2 .

It is a cyclic number.

It is not a de Polignac number, because 105413213 - 2¹⁶ = 105347677 is a prime.

It is a super-2 number, since 2×105413213² = 22223890949966738, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148958 + ... + 149663.

It is an arithmetic number, because the mean of its divisors is an integer number (26428047).

Almost surely, 2^105413213 is an apocalyptic number.

It is an amenable number.

105413213 is a deficient number, since it is larger than the sum of its proper divisors (298975).

105413213 is an equidigital number, since it uses as much as digits as its factorization.

105413213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298974.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105413213 is about 10267.0936978290. The cubic root of 105413213 is about 472.3874490934.

Adding to 105413213 its reverse (312314501), we get a palindrome (417727714).

The spelling of 105413213 in words is "one hundred five million, four hundred thirteen thousand, two hundred thirteen".