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106896512 = 274120369
BaseRepresentation
bin1100101111100…
…01110010000000
321110010220110002
412113301302000
5204331142022
614335055132
72435414432
oct627616200
9243126402
10106896512
1155381a28
122b9714a8
13191b9898
14102a8652
1595b8092
hex65f1c80

106896512 has 32 divisors (see below), whose sum is σ = 218162700. Its totient is φ = 52142080.

The previous prime is 106896511. The next prime is 106896539. The reversal of 106896512 is 215698601.

It can be written as a sum of positive squares in 2 ways, for example, as 103713856 + 3182656 = 10184^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1068965122 = 22853728555532288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106896511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4937 + ... + 15432.

Almost surely, 2106896512 is an apocalyptic number.

It is an amenable number.

106896512 is an abundant number, since it is smaller than the sum of its proper divisors (111266188).

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

106896512 is an equidigital number, since it uses as much as digits as its factorization.

106896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20424 (or 20412 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 106896512 is about 10339.0769413909. The cubic root of 106896512 is about 474.5928359407.

The spelling of 106896512 in words is "one hundred six million, eight hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 20369 40738 81476 162952 325904 651808 835129 1303616 1670258 2607232 3340516 6681032 13362064 26724128 53448256 106896512