105204013 has 2 divisors, whose sum is σ = 105204014. Its totient is φ = 105204012.

The previous prime is 105203981. The next prime is 105204019. The reversal of 105204013 is 310402501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71876484 + 33327529 = 8478^2 + 5773^2 .

It is a cyclic number.

It is not a de Polignac number, because 105204013 - 2⁵ = 105203981 is a prime.

It is a super-2 number, since 2×105204013² = 22135768702608338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105204019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602006 + 52602007.

It is an arithmetic number, because the mean of its divisors is an integer number (52602007).

Almost surely, 2^105204013 is an apocalyptic number.

It is an amenable number.

105204013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105204013 is an equidigital number, since it uses as much as digits as its factorization.

105204013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 105204013 is about 10256.9007502266. The cubic root of 105204013 is about 472.0747466729.

Adding to 105204013 its reverse (310402501), we get a palindrome (415606514).

The spelling of 105204013 in words is "one hundred five million, two hundred four thousand, thirteen".