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105426 = 2325857
BaseRepresentation
bin11001101111010010
312100121200
4121233102
511333201
62132030
7616236
oct315722
9170550
10105426
1172232
1251016
1338ca9
142a5c6
1521386
hex19bd2

105426 has 12 divisors (see below), whose sum is σ = 228462. Its totient is φ = 35136.

The previous prime is 105407. The next prime is 105437. The reversal of 105426 is 624501.

105426 = 492 + 502 + ... + 752.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 40401 = 255^2 + 201^2 .

It is a super-2 number, since 2×1054262 = 22229282952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5857 = 105426 / (1 + 0 + 5 + 4 + 2 + 6).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105399 and 105408.

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, 2911 + ... + 2946.

2105426 is an apocalyptic number.

105426 is an abundant number, since it is smaller than the sum of its proper divisors (123036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105426 is a wasteful number, since it uses less digits than its factorization.

105426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105426 is about 324.6937018176. The cubic root of 105426 is about 47.2406549084.

Adding to 105426 its reverse (624501), we get a palindrome (729927).

The spelling of 105426 in words is "one hundred five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 5857 11714 17571 35142 52713 105426