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105023 is a prime number
BaseRepresentation
bin11001101000111111
312100001202
4121220333
511330043
62130115
7615122
oct315077
9170052
10105023
11719a6
125093b
1338a59
142a3b9
15211b8
hex19a3f

105023 has 2 divisors, whose sum is σ = 105024. Its totient is φ = 105022.

The previous prime is 105019. The next prime is 105031. The reversal of 105023 is 320501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105023 - 22 = 105019 is a prime.

It is a super-2 number, since 2×1050232 = 22059661058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104995 and 105013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52511 + 52512.

It is an arithmetic number, because the mean of its divisors is an integer number (52512).

2105023 is an apocalyptic number.

105023 is a deficient number, since it is larger than the sum of its proper divisors (1).

105023 is an equidigital number, since it uses as much as digits as its factorization.

105023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105023 is about 324.0725227476. The cubic root of 105023 is about 47.1803842171.

Adding to 105023 its reverse (320501), we get a palindrome (425524).

The spelling of 105023 in words is "one hundred five thousand, twenty-three".