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106542141 = 3235926171
BaseRepresentation
bin1100101100110…
…11010000111101
321102110220100020
412112123100331
5204233322031
614323322353
72432410326
oct626332075
9242426306
10106542141
115515a762
122b8203b9
13190c44b4
141021544d
159548096
hex659b43d

106542141 has 16 divisors (see below), whose sum is σ = 150750720. Its totient is φ = 66785840.

The previous prime is 106542119. The next prime is 106542151. The reversal of 106542141 is 141245601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106542141 - 25 = 106542109 is a prime.

It is a super-2 number, since 2×1065421412 = 22702455617727762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106542151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9015 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (9421920).

Almost surely, 2106542141 is an apocalyptic number.

It is an amenable number.

106542141 is a deficient number, since it is larger than the sum of its proper divisors (44208579).

106542141 is a wasteful number, since it uses less digits than its factorization.

106542141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26256.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106542141 is about 10321.9252564626. The cubic root of 106542141 is about 474.0678168559.

Adding to 106542141 its reverse (141245601), we get a palindrome (247787742).

The spelling of 106542141 in words is "one hundred six million, five hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 23 59 69 177 1357 4071 26171 78513 601933 1544089 1805799 4632267 35514047 106542141