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106546221 = 3271166739
BaseRepresentation
bin1100101100111…
…00010000101101
321102111002221100
412112130100231
5204233434341
614323353313
72432425245
oct626342055
9242432840
10106546221
1155162831
122b822839
13190c6302
1410216b25
1595493b6
hex659c42d

106546221 has 12 divisors (see below), whose sum is σ = 156068640. Its totient is φ = 70029960.

The previous prime is 106546211. The next prime is 106546267. The reversal of 106546221 is 122645601.

106546221 is a `hidden beast` number, since 1 + 0 + 654 + 6 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 106546221 - 27 = 106546093 is a prime.

It is a super-2 number, since 2×1065462212 = 22704194418761682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106546211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82731 + ... + 84008.

It is an arithmetic number, because the mean of its divisors is an integer number (13005720).

Almost surely, 2106546221 is an apocalyptic number.

It is an amenable number.

106546221 is a deficient number, since it is larger than the sum of its proper divisors (49522419).

106546221 is a wasteful number, since it uses less digits than its factorization.

106546221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166816 (or 166813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106546221 is about 10322.1228921187. The cubic root of 106546221 is about 474.0738682079.

The spelling of 106546221 in words is "one hundred six million, five hundred forty-six thousand, two hundred twenty-one".

Divisors: 1 3 9 71 213 639 166739 500217 1500651 11838469 35515407 106546221