Base | Representation |
---|---|
bin | 1100100110110… |
… | …00011100001101 |
3 | 21100222100200200 |
4 | 12103120130031 |
5 | 204032303031 |
6 | 14254244113 |
7 | 2422544646 |
oct | 623303415 |
9 | 240870620 |
10 | 105744141 |
11 | 54765158 |
12 | 2b4b6639 |
13 | 18ba51c9 |
14 | 100886cd |
15 | 943b8e6 |
hex | 64d870d |
105744141 has 12 divisors (see below), whose sum is σ = 154170432. Its totient is φ = 69836616.
The previous prime is 105744083. The next prime is 105744143. The reversal of 105744141 is 141447501.
105744141 is a `hidden beast` number, since 10 + 574 + 41 + 41 = 666.
It is not a de Polignac number, because 105744141 - 27 = 105744013 is a prime.
It is a super-2 number, since 2×1057441412 = 22363646711655762, which contains 22 as substring.
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105744143) 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 11 ways as a sum of consecutive naturals, for example, 53941 + ... + 55866.
It is an arithmetic number, because the mean of its divisors is an integer number (12847536).
Almost surely, 2105744141 is an apocalyptic number.
It is an amenable number.
105744141 is a deficient number, since it is larger than the sum of its proper divisors (48426291).
105744141 is a wasteful number, since it uses less digits than its factorization.
105744141 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109920 (or 109917 counting only the distinct ones).
The product of its (nonzero) digits is 2240, while the sum is 27.
The square root of 105744141 is about 10283.1970223272. The cubic root of 105744141 is about 472.8812611020.
The spelling of 105744141 in words is "one hundred five million, seven hundred forty-four thousand, one hundred forty-one".
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