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105241 = 1929191
BaseRepresentation
bin11001101100011001
312100100211
4121230121
511331431
62131121
7615553
oct315431
9170324
10105241
1172084
1250aa1
1338b96
142a4d3
15212b1
hex19b19

105241 has 8 divisors (see below), whose sum is σ = 115200. Its totient is φ = 95760.

The previous prime is 105239. The next prime is 105251. The reversal of 105241 is 142501.

105241 = T30 + T31 + ... + T86.

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

It is not a de Polignac number, because 105241 - 21 = 105239 is a prime.

It is a super-2 number, since 2×1052412 = 22151336162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 646.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2105241 is an apocalyptic number.

It is an amenable number.

105241 is a deficient number, since it is larger than the sum of its proper divisors (9959).

105241 is a wasteful number, since it uses less digits than its factorization.

105241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105241 is about 324.4086928552. The cubic root of 105241 is about 47.2130063266.

Adding to 105241 its reverse (142501), we get a palindrome (247742).

The spelling of 105241 in words is "one hundred five thousand, two hundred forty-one".

Divisors: 1 19 29 191 551 3629 5539 105241