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106542153 = 3211838017
BaseRepresentation
bin1100101100110…
…11010001001001
321102110220100200
412112123101021
5204233322103
614323322413
72432410344
oct626332111
9242426320
10106542153
115515a773
122b820409
13190c44c3
141021545b
1595480a3
hex659b449

106542153 has 6 divisors (see below), whose sum is σ = 153894234. Its totient is φ = 71028096.

The previous prime is 106542151. The next prime is 106542157. The reversal of 106542153 is 351245601.

106542153 is a `hidden beast` number, since 1 + 0 + 654 + 2 + 1 + 5 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101666889 + 4875264 = 10083^2 + 2208^2 .

It is not a de Polignac number, because 106542153 - 21 = 106542151 is a prime.

It is a super-2 number, since 2×1065421532 = 22702460731750818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106542151) 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 5 ways as a sum of consecutive naturals, for example, 5919000 + ... + 5919017.

It is an arithmetic number, because the mean of its divisors is an integer number (25649039).

Almost surely, 2106542153 is an apocalyptic number.

It is an amenable number.

106542153 is a deficient number, since it is larger than the sum of its proper divisors (47352081).

106542153 is a wasteful number, since it uses less digits than its factorization.

106542153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838023 (or 11838020 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106542153 is about 10321.9258377495. The cubic root of 106542153 is about 474.0678346542.

Adding to 106542153 its reverse (351245601), we get a palindrome (457787754).

The spelling of 106542153 in words is "one hundred six million, five hundred forty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 11838017 35514051 106542153