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106050321 = 32134212153
BaseRepresentation
bin1100101001000…
…11001100010001
321101112220200200
412110203030101
5204122102241
614305005413
72425261416
oct624431421
9241486620
10106050321
11549541a3
122b623869
1318c81690
141012810d
15949c4b6
hex6523311

106050321 has 24 divisors (see below), whose sum is σ = 165435816. Its totient is φ = 65076480.

The previous prime is 106050319. The next prime is 106050331. The reversal of 106050321 is 123050601.

It can be written as a sum of positive squares in 4 ways, for example, as 17313921 + 88736400 = 4161^2 + 9420^2 .

It is not a de Polignac number, because 106050321 - 21 = 106050319 is a prime.

It is a super-2 number, since 2×1060503212 = 22493341168406082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106050294 and 106050303.

It is not an unprimeable number, because it can be changed into a prime (106050331) 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 23 ways as a sum of consecutive naturals, for example, 48181 + ... + 50333.

It is an arithmetic number, because the mean of its divisors is an integer number (6893159).

Almost surely, 2106050321 is an apocalyptic number.

It is an amenable number.

106050321 is a deficient number, since it is larger than the sum of its proper divisors (59385495).

106050321 is a wasteful number, since it uses less digits than its factorization.

106050321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106050321 is about 10298.0736548153. The cubic root of 106050321 is about 473.3372273148.

The spelling of 106050321 in words is "one hundred six million, fifty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 421 1263 2153 3789 5473 6459 16419 19377 27989 49257 83967 251901 906413 2719239 8157717 11783369 35350107 106050321