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106168329 = 3236732143
BaseRepresentation
bin1100101010000…
…00000000001001
321101202220120100
412111000000021
5204134341304
614311320013
72426262441
oct625000011
9241686510
10106168329
1154a24923
122b680009
1318cc32c7
1410159121
1594c2439
hex6540009

106168329 has 12 divisors (see below), whose sum is σ = 153776896. Its totient is φ = 70583832.

The previous prime is 106168319. The next prime is 106168331. The reversal of 106168329 is 923861601.

106168329 is a `hidden beast` number, since 1 + 0 + 616 + 8 + 32 + 9 = 666.

It is not a de Polignac number, because 106168329 - 213 = 106160137 is a prime.

It is a super-2 number, since 2×1061683292 = 22543428165304482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106168293 and 106168302.

It is not an unprimeable number, because it can be changed into a prime (106168319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12769 + ... + 19374.

Almost surely, 2106168329 is an apocalyptic number.

It is an amenable number.

106168329 is a deficient number, since it is larger than the sum of its proper divisors (47608567).

106168329 is a wasteful number, since it uses less digits than its factorization.

106168329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32516 (or 32513 counting only the distinct ones).

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

The square root of 106168329 is about 10303.8016770510. The cubic root of 106168329 is about 473.5127316515.

The spelling of 106168329 in words is "one hundred six million, one hundred sixty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 9 367 1101 3303 32143 96429 289287 11796481 35389443 106168329