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106329519 = 3215178241
BaseRepresentation
bin1100101011001…
…11010110101111
321102002002200100
412111213112233
5204210021034
614315002143
72430533412
oct625472657
9242062610
10106329519
1155024a3a
122b739353
131904b79a
141019bb79
159505099
hex65675af

106329519 has 12 divisors (see below), whose sum is σ = 154606192. Its totient is φ = 70416000.

The previous prime is 106329511. The next prime is 106329533. The reversal of 106329519 is 915923601.

106329519 is a `hidden beast` number, since 1 + 0 + 632 + 9 + 5 + 19 = 666.

It is not a de Polignac number, because 106329519 - 23 = 106329511 is a prime.

It is a super-2 number, since 2×1063295192 = 22611933221542722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106329511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37762 + ... + 40479.

Almost surely, 2106329519 is an apocalyptic number.

106329519 is a deficient number, since it is larger than the sum of its proper divisors (48276673).

106329519 is a wasteful number, since it uses less digits than its factorization.

106329519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78398 (or 78395 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 106329519 is about 10311.6205806847. The cubic root of 106329519 is about 473.7522472818.

The spelling of 106329519 in words is "one hundred six million, three hundred twenty-nine thousand, five hundred nineteen".

Divisors: 1 3 9 151 453 1359 78241 234723 704169 11814391 35443173 106329519