105577 has 4 divisors (see below), whose sum is σ = 107136. Its totient is φ = 104020.

The previous prime is 105563. The next prime is 105601. The reversal of 105577 is 775501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 775501 = 479 ⋅1619.

It is a cyclic number.

It is not a de Polignac number, because 105577 - 2⁷ = 105449 is a prime.

It is a super-2 number, since 2×105577² = 22293005858, which contains 22 as substring.

It is a Duffinian number.

105577 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (105517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 673 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2¹⁰⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

105577 is a deficient number, since it is larger than the sum of its proper divisors (1559).

105577 is an equidigital number, since it uses as much as digits as its factorization.

105577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558.

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 105577 is about 324.9261454546. The cubic root of 105577 is about 47.2631981644.

The spelling of 105577 in words is "one hundred five thousand, five hundred seventy-seven".