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105430 = 2513811
BaseRepresentation
bin11001101111010110
312100121211
4121233112
511333210
62132034
7616243
oct315726
9170554
10105430
1172236
125101a
1338cb0
142a5ca
152138a
hex19bd6

105430 has 16 divisors (see below), whose sum is σ = 204624. Its totient is φ = 38880.

The previous prime is 105407. The next prime is 105437. The reversal of 105430 is 34501.

It is a super-2 number, since 2×1054302 = 22230969800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105437) 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 in 7 ways as a sum of consecutive naturals, for example, 276 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (12789).

2105430 is an apocalyptic number.

105430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105430 is a deficient number, since it is larger than the sum of its proper divisors (99194).

105430 is a wasteful number, since it uses less digits than its factorization.

105430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 105430 is about 324.6998614105. The cubic root of 105430 is about 47.2412523582.

Adding to 105430 its reverse (34501), we get a palindrome (139931).

It can be divided in two parts, 105 and 430, that multiplied together give a triangular number (45150 = T300).

The spelling of 105430 in words is "one hundred five thousand, four hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 811 1622 4055 8110 10543 21086 52715 105430