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10442103105 = 357214206943
BaseRepresentation
bin10011011100110010…
…11101100101000001
3222221201122210120110
421232121131211001
5132341134244410
64444054301533
7516523261200
oct115631354501
928851583513
1010442103105
114479327685
1220350578a9
13ca5480945
14710b67237
15411adb720
hex26e65d941

10442103105 has 24 divisors (see below), whose sum is σ = 19435099392. Its totient is φ = 4773532512.

The previous prime is 10442103083. The next prime is 10442103107. The reversal of 10442103105 is 50130124401.

10442103105 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 10442103105 - 26 = 10442103041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10442103107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7102737 + ... + 7104206.

It is an arithmetic number, because the mean of its divisors is an integer number (809795808).

Almost surely, 210442103105 is an apocalyptic number.

10442103105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10442103105 is a deficient number, since it is larger than the sum of its proper divisors (8992996287).

10442103105 is a wasteful number, since it uses less digits than its factorization.

10442103105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206965 (or 14206958 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10442103105 its reverse (50130124401), we get a palindrome (60572227506).

The spelling of 10442103105 in words is "ten billion, four hundred forty-two million, one hundred three thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 14206943 42620829 71034715 99448601 213104145 298345803 497243005 696140207 1491729015 2088420621 3480701035 10442103105