105057 has 10 divisors (see below), whose sum is σ = 157058. Its totient is φ = 69984.

The previous prime is 105037. The next prime is 105071. The reversal of 105057 is 750501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 81 = 324^2 + 9^2 .

It is not a de Polignac number, because 105057 - 2⁸ = 104801 is a prime.

It is a super-2 number, since 2×105057² = 22073946498, which contains 22 as substring.

It is a Duffinian number.

105057 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105057.

It is not an unprimeable number, because it can be changed into a prime (105037) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 568 + ... + 729.

2¹⁰⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

105057 is a deficient number, since it is larger than the sum of its proper divisors (52001).

105057 is an equidigital number, since it uses as much as digits as its factorization.

105057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 105057 is about 324.1249758966. The cubic root of 105057 is about 47.1854750385.

Adding to 105057 its reverse (750501), we get a palindrome (855558).

The spelling of 105057 in words is "one hundred five thousand, fifty-seven".