105587413 has 2 divisors, whose sum is σ = 105587414. Its totient is φ = 105587412.

The previous prime is 105587393. The next prime is 105587429. The reversal of 105587413 is 314785501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80407089 + 25180324 = 8967^2 + 5018^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105587413 is a prime.

It is a super-2 number, since 2×105587413² = 22297403568065138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105587113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52793706 + 52793707.

It is an arithmetic number, because the mean of its divisors is an integer number (52793707).

Almost surely, 2^105587413 is an apocalyptic number.

It is an amenable number.

105587413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105587413 is an equidigital number, since it uses as much as digits as its factorization.

105587413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105587413 is about 10275.5736092931. The cubic root of 105587413 is about 472.6475196090.

It can be divided in two parts, 10558 and 7413, that added together give a palindrome (17971).

The spelling of 105587413 in words is "one hundred five million, five hundred eighty-seven thousand, four hundred thirteen".