106577 has 4 divisors (see below), whose sum is σ = 107316. Its totient is φ = 105840.

The previous prime is 106543. The next prime is 106591. The reversal of 106577 is 775601.

106577 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 25921 = 284^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 106577 - 2⁸ = 106321 is a prime.

It is a super-2 number, since 2×106577² = 22717313858, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106537) 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, 74 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (26829).

2¹⁰⁶⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

106577 is a deficient number, since it is larger than the sum of its proper divisors (739).

106577 is an equidigital number, since it uses as much as digits as its factorization.

106577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 106577 is about 326.4613300224. The cubic root of 106577 is about 47.4119513859.

The spelling of 106577 in words is "one hundred six thousand, five hundred seventy-seven".