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103057 = 257401
BaseRepresentation
bin11001001010010001
312020100221
4121022101
511244212
62113041
7606313
oct311221
9166327
10103057
1170479
124b781
1337ba6
14297b3
1520807
hex19291

103057 has 4 divisors (see below), whose sum is σ = 103716. Its totient is φ = 102400.

The previous prime is 103049. The next prime is 103067. The reversal of 103057 is 750301.

103057 is nontrivially palindromic in base 16.

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, and also an emirpimes, since its reverse is a distinct semiprime: 750301 = 1734337.

It can be written as a sum of positive squares in 2 ways, for example, as 101761 + 1296 = 319^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 103057 - 23 = 103049 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103057.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103057.

It is not an unprimeable number, because it can be changed into a prime (103007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (25929).

2103057 is an apocalyptic number.

It is an amenable number.

103057 is a deficient number, since it is larger than the sum of its proper divisors (659).

103057 is an equidigital number, since it uses as much as digits as its factorization.

103057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 103057 is about 321.0249211510. The cubic root of 103057 is about 46.8841268154.

Subtracting from 103057 its sum of digits (16), we obtain a square (103041 = 3212).

Adding to 103057 its reverse (750301), we get a palindrome (853358).

The spelling of 103057 in words is "one hundred three thousand, fifty-seven".

Divisors: 1 257 401 103057