105641579 has 2 divisors, whose sum is σ = 105641580. Its totient is φ = 105641578.

The previous prime is 105641551. The next prime is 105641597. The reversal of 105641579 is 975146501.

Together with next prime (105641597) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105641579 is a prime.

It is a super-2 number, since 2×105641579² = 22320286427226482, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105641509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52820789 + 52820790.

It is an arithmetic number, because the mean of its divisors is an integer number (52820790).

Almost surely, 2^105641579 is an apocalyptic number.

105641579 is a deficient number, since it is larger than the sum of its proper divisors (1).

105641579 is an equidigital number, since it uses as much as digits as its factorization.

105641579 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 105641579 is about 10278.2089393046. The cubic root of 105641579 is about 472.7283280067.

The spelling of 105641579 in words is "one hundred five million, six hundred forty-one thousand, five hundred seventy-nine".