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106343016 = 233135359109
BaseRepresentation
bin1100101011010…
…10101001101000
321102002210012020
412111222221220
5204210434031
614315144440
72430620643
oct625525150
9242083166
10106343016
115503409a
122b745120
1319054980
14101a2a5a
159509096
hex656aa68

106343016 has 128 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 31269888.

The previous prime is 106342991. The next prime is 106343023. The reversal of 106343016 is 610343601.

It is a super-2 number, since 2×1063430162 = 22617674103952512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 975570 + ... + 975678.

It is an arithmetic number, because the mean of its divisors is an integer number (2338875).

Almost surely, 2106343016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106343016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

106343016 is an abundant number, since it is smaller than the sum of its proper divisors (193032984).

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

106343016 is a wasteful number, since it uses less digits than its factorization.

106343016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106343016 is about 10312.2750157276. The cubic root of 106343016 is about 473.7722917737.

Adding to 106343016 its reverse (610343601), we get a palindrome (716686617).

The spelling of 106343016 in words is "one hundred six million, three hundred forty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 59 78 104 106 109 118 156 159 177 212 218 236 312 318 327 354 424 436 472 636 654 689 708 767 872 1272 1308 1378 1416 1417 1534 2067 2301 2616 2756 2834 3068 3127 4134 4251 4602 5512 5668 5777 6136 6254 6431 8268 8502 9204 9381 11336 11554 12508 12862 16536 17004 17331 18408 18762 19293 23108 25016 25724 34008 34662 37524 38586 40651 46216 51448 69324 75048 75101 77172 81302 83603 121953 138648 150202 154344 162604 167206 225303 243906 250809 300404 325208 334412 340843 450606 487812 501618 600808 668824 681686 901212 975624 1003236 1022529 1363372 1802424 2006472 2045058 2726744 4090116 4430959 8180232 8861918 13292877 17723836 26585754 35447672 53171508 106343016