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106627149 = 3223539719
BaseRepresentation
bin1100101101100…
…00000001001101
321102122012221200
412112300001031
5204244032044
614325220113
72433213216
oct626600115
9242565850
10106627149
1155208612
122b861639
13191240b5
141023840d
159563369
hex65b004d

106627149 has 24 divisors (see below), whose sum is σ = 163762560. Its totient is φ = 66704352.

The previous prime is 106627127. The next prime is 106627159. The reversal of 106627149 is 941726601.

106627149 is a `hidden beast` number, since 10 + 6 + 627 + 14 + 9 = 666.

It is not a de Polignac number, because 106627149 - 216 = 106561613 is a prime.

It is a super-2 number, since 2×1066271492 = 22738697807736402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106627109) 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, 6112 + ... + 15830.

It is an arithmetic number, because the mean of its divisors is an integer number (6823440).

Almost surely, 2106627149 is an apocalyptic number.

It is an amenable number.

106627149 is a deficient number, since it is larger than the sum of its proper divisors (57135411).

106627149 is a wasteful number, since it uses less digits than its factorization.

106627149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106627149 is about 10326.0422718484. The cubic root of 106627149 is about 474.1938666463.

The spelling of 106627149 in words is "one hundred six million, six hundred twenty-seven thousand, one hundred forty-nine".

Divisors: 1 3 9 23 53 69 159 207 477 1219 3657 9719 10971 29157 87471 223537 515107 670611 1545321 2011833 4635963 11847461 35542383 106627149