105077 has 8 divisors (see below), whose sum is σ = 127296. Its totient is φ = 84672.

The previous prime is 105071. The next prime is 105097. The reversal of 105077 is 770501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105077 - 2¹⁰ = 104053 is a prime.

It is a super-2 number, since 2×105077² = 22082351858, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (15912).

2¹⁰⁵⁰⁷⁷ is an apocalyptic number.

105077 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105077 is a deficient number, since it is larger than the sum of its proper divisors (22219).

105077 is an equidigital number, since it uses as much as digits as its factorization.

105077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 105077 is about 324.1558267254. The cubic root of 105077 is about 47.1884691262.

Adding to 105077 its reverse (770501), we get a palindrome (875578).

The spelling of 105077 in words is "one hundred five thousand, seventy-seven".