105220593 has 8 divisors (see below), whose sum is σ = 155882400. Its totient is φ = 70147044.

The previous prime is 105220589. The next prime is 105220627. The reversal of 105220593 is 395022501.

105220593 is a `hidden beast` number, since 1 + 0 + 52 + 20 + 593 = 666.

It is not a de Polignac number, because 105220593 - 2² = 105220589 is a prime.

It is a super-2 number, since 2×105220593² = 22142746382543298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3897059 = 105220593 / (1 + 0 + 5 + 2 + 2 + 0 + 5 + 9 + 3).

It is not an unprimeable number, because it can be changed into a prime (105220573) 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 in 7 ways as a sum of consecutive naturals, for example, 1948503 + ... + 1948556.

It is an arithmetic number, because the mean of its divisors is an integer number (19485300).

Almost surely, 2^105220593 is an apocalyptic number.

It is an amenable number.

105220593 is a deficient number, since it is larger than the sum of its proper divisors (50661807).

105220593 is an equidigital number, since it uses as much as digits as its factorization.

105220593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897068 (or 3897062 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105220593 is about 10257.7089547325. The cubic root of 105220593 is about 472.0995448022.

The spelling of 105220593 in words is "one hundred five million, two hundred twenty thousand, five hundred ninety-three".