Search a number
-
+
105131243 = 761246209
BaseRepresentation
bin1100100010000…
…10110011101011
321022211012221202
412101002303223
5203403144433
614233154415
72414413040
oct621026353
9238735852
10105131243
1154386728
122b25ba0b
1318a1c249
14dd691c7
159369ee8
hex6442ceb

105131243 has 8 divisors (see below), whose sum is σ = 122120160. Its totient is φ = 88634880.

The previous prime is 105131239. The next prime is 105131267. The reversal of 105131243 is 342131501.

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

It is a cyclic number.

It is not a de Polignac number, because 105131243 - 22 = 105131239 is a prime.

It is a super-2 number, since 2×1051312432 = 22105156509450098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105131443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122678 + ... + 123531.

It is an arithmetic number, because the mean of its divisors is an integer number (15265020).

Almost surely, 2105131243 is an apocalyptic number.

105131243 is a deficient number, since it is larger than the sum of its proper divisors (16988917).

105131243 is an equidigital number, since it uses as much as digits as its factorization.

105131243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246277.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105131243 is about 10253.3527687289. The cubic root of 105131243 is about 471.9658762916.

Adding to 105131243 its reverse (342131501), we get a palindrome (447262744).

The spelling of 105131243 in words is "one hundred five million, one hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 7 61 427 246209 1723463 15018749 105131243