105272593 has 2 divisors, whose sum is σ = 105272594. Its totient is φ = 105272592.

The previous prime is 105272561. The next prime is 105272599. The reversal of 105272593 is 395272501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102272769 + 2999824 = 10113^2 + 1732^2 .

It is a cyclic number.

It is not a de Polignac number, because 105272593 - 2⁵ = 105272561 is a prime.

It is a super-2 number, since 2×105272593² = 22164637673887298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105272599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52636296 + 52636297.

It is an arithmetic number, because the mean of its divisors is an integer number (52636297).

Almost surely, 2^105272593 is an apocalyptic number.

It is an amenable number.

105272593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105272593 is an equidigital number, since it uses as much as digits as its factorization.

105272593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 105272593 is about 10260.2433207015. The cubic root of 105272593 is about 472.1773025005.

The spelling of 105272593 in words is "one hundred five million, two hundred seventy-two thousand, five hundred ninety-three".