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106328196 = 223213673391
BaseRepresentation
bin1100101011001…
…11000010000100
321102002000212100
412111213002010
5204210000241
614314552100
72430526512
oct625470204
9242060770
10106328196
1155023a47
122b738630
131904acc0
141019b4b2
1595049b6
hex6567084

106328196 has 72 divisors (see below), whose sum is σ = 293855744. Its totient is φ = 32218560.

The previous prime is 106328191. The next prime is 106328203. The reversal of 106328196 is 691823601.

106328196 is a `hidden beast` number, since 1 + 0 + 632 + 8 + 19 + 6 = 666.

It is a super-2 number, since 2×1063281962 = 22611370529228832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106328196.

It is not an unprimeable number, because it can be changed into a prime (106328191) 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, 29661 + ... + 33051.

Almost surely, 2106328196 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 106328196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146927872).

106328196 is an abundant number, since it is smaller than the sum of its proper divisors (187527548).

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

106328196 is a wasteful number, since it uses less digits than its factorization.

106328196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106328196 is about 10311.5564295600. The cubic root of 106328196 is about 473.7502823937.

The spelling of 106328196 in words is "one hundred six million, three hundred twenty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3391 3484 5226 6782 7839 10173 10452 13564 15678 20346 30519 31356 40692 44083 61038 88166 122076 132249 176332 227197 264498 396747 454394 528996 681591 793494 908788 1363182 1586988 2044773 2726364 2953561 4089546 5907122 8179092 8860683 11814244 17721366 26582049 35442732 53164098 106328196