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105425 = 524217
BaseRepresentation
bin11001101111010001
312100121122
4121233101
511333200
62132025
7616235
oct315721
9170548
10105425
1172231
1251015
1338ca8
142a5c5
1521385
hex19bd1

105425 has 6 divisors (see below), whose sum is σ = 130758. Its totient is φ = 84320.

The previous prime is 105407. The next prime is 105437. The reversal of 105425 is 524501.

105425 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 21904 + 83521 = 148^2 + 289^2 .

It is not a de Polignac number, because 105425 - 26 = 105361 is a prime.

It is a super-2 number, since 2×1054252 = 22228861250, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105425.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2084 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (21793).

2105425 is an apocalyptic number.

It is an amenable number.

105425 is a deficient number, since it is larger than the sum of its proper divisors (25333).

105425 is an equidigital number, since it uses as much as digits as its factorization.

105425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 105425 is about 324.6921619011. The cubic root of 105425 is about 47.2405055436.

Adding to 105425 its product of nonzero digits (200), we get a square (105625 = 3252).

Adding to 105425 its reverse (524501), we get a palindrome (629926).

The spelling of 105425 in words is "one hundred five thousand, four hundred twenty-five".

Divisors: 1 5 25 4217 21085 105425