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42105 = 357401
BaseRepresentation
bin1010010001111001
32010202110
422101321
52321410
6522533
7233520
oct122171
963673
1042105
11296a8
1220449
131621b
14114b7
15c720
hexa479

42105 has 16 divisors (see below), whose sum is σ = 77184. Its totient is φ = 19200.

The previous prime is 42101. The next prime is 42131. The reversal of 42105 is 50124.

42105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42105 - 22 = 42101 is a prime.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (4824).

242105 is an apocalyptic number.

It is an amenable number.

42105 is a deficient number, since it is larger than the sum of its proper divisors (35079).

42105 is a wasteful number, since it uses less digits than its factorization.

42105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 42105 is about 205.1950291796. The cubic root of 42105 is about 34.7892092320.

Adding to 42105 its reverse (50124), we get a palindrome (92229).

The spelling of 42105 in words is "forty-two thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 401 1203 2005 2807 6015 8421 14035 42105