105720413 has 2 divisors, whose sum is σ = 105720414. Its totient is φ = 105720412.

The previous prime is 105720401. The next prime is 105720431. The reversal of 105720413 is 314027501.

Together with next prime (105720431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105616729 + 103684 = 10277^2 + 322^2 .

It is an emirp because it is prime and its reverse (314027501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105720413 - 2⁸ = 105720157 is a prime.

It is a super-2 number, since 2×105720413² = 22353611449781138, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105720463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52860206 + 52860207.

It is an arithmetic number, because the mean of its divisors is an integer number (52860207).

Almost surely, 2^105720413 is an apocalyptic number.

It is an amenable number.

105720413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105720413 is an equidigital number, since it uses as much as digits as its factorization.

105720413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105720413 is about 10282.0432307980. The cubic root of 105720413 is about 472.8458884065.

Adding to 105720413 its reverse (314027501), we get a palindrome (419747914).

The spelling of 105720413 in words is "one hundred five million, seven hundred twenty thousand, four hundred thirteen".