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105314 = 2114787
BaseRepresentation
bin11001101101100010
312100110112
4121231202
511332224
62131322
7616016
oct315542
9170415
10105314
1172140
1250b42
1338c21
142a546
152130e
hex19b62

105314 has 8 divisors (see below), whose sum is σ = 172368. Its totient is φ = 47860.

The previous prime is 105277. The next prime is 105319. The reversal of 105314 is 413501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×1053142 = 22182077192, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105314.

It is not an unprimeable number, because it can be changed into a prime (105319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2372 + ... + 2415.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2105314 is an apocalyptic number.

105314 is a deficient number, since it is larger than the sum of its proper divisors (67054).

105314 is a wasteful number, since it uses less digits than its factorization.

105314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 105314 is about 324.5211857491. The cubic root of 105314 is about 47.2239201748.

Adding to 105314 its reverse (413501), we get a palindrome (518815).

It can be divided in two parts, 10531 and 4, that multiplied together give a palindrome (42124).

The spelling of 105314 in words is "one hundred five thousand, three hundred fourteen".

Divisors: 1 2 11 22 4787 9574 52657 105314