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105941 = 119631
BaseRepresentation
bin11001110111010101
312101022202
4121313111
511342231
62134245
7620603
oct316725
9171282
10105941
1172660
1251385
13392b4
142a873
15215cb
hex19dd5

105941 has 4 divisors (see below), whose sum is σ = 115584. Its totient is φ = 96300.

The previous prime is 105929. The next prime is 105943. The reversal of 105941 is 149501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 149501 = 1113591.

It is a cyclic number.

It is not a de Polignac number, because 105941 - 210 = 104917 is a prime.

It is a super-2 number, since 2×1059412 = 22446990962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105943) 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 3 ways as a sum of consecutive naturals, for example, 4805 + ... + 4826.

It is an arithmetic number, because the mean of its divisors is an integer number (28896).

2105941 is an apocalyptic number.

105941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105941 is a deficient number, since it is larger than the sum of its proper divisors (9643).

105941 is an equidigital number, since it uses as much as digits as its factorization.

105941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105941 is about 325.4857907805. The cubic root of 105941 is about 47.3174526284.

The spelling of 105941 in words is "one hundred five thousand, nine hundred forty-one".

Divisors: 1 11 9631 105941