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106321026 = 23717433463
BaseRepresentation
bin1100101011001…
…01010010000010
321102001200000210
412111211102002
5204204233101
614314454550
72430466560
oct625452202
9242050023
10106321026
1155019619
122b734456
1319047966
1410198a30
1595027d6
hex6565482

106321026 has 64 divisors (see below), whose sum is σ = 263374848. Its totient is φ = 27917568.

The previous prime is 106321013. The next prime is 106321031. The reversal of 106321026 is 620123601.

It is a happy number.

It is a super-2 number, since 2×1063210262 = 22608321139385352, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106320993 and 106321011.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28971 + ... + 32433.

It is an arithmetic number, because the mean of its divisors is an integer number (4115232).

Almost surely, 2106321026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106321026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131687424).

106321026 is an abundant number, since it is smaller than the sum of its proper divisors (157053822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106321026 is a wasteful number, since it uses less digits than its factorization.

106321026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106321026 is about 10311.2087555243. The cubic root of 106321026 is about 473.7396333968.

Adding to 106321026 its reverse (620123601), we get a palindrome (726444627).

The spelling of 106321026 in words is "one hundred six million, three hundred twenty-one thousand, twenty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 602 714 731 903 1462 1806 2193 3463 4386 5117 6926 10234 10389 15351 20778 24241 30702 48482 58871 72723 117742 145446 148909 176613 297818 353226 412097 446727 824194 893454 1042363 1236291 2084726 2472582 2531453 3127089 5062906 6254178 7594359 15188718 17720171 35440342 53160513 106321026