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106541133 = 346497639
BaseRepresentation
bin1100101100110…
…11000001001101
321102110211221220
412112123001031
5204233304013
614323313553
72432404356
oct626330115
9242424856
10106541133
1155159a26
122b81b8b9
13190c3bba
1410214d2d
159547b23
hex659b04d

106541133 has 8 divisors (see below), whose sum is σ = 142104000. Its totient is φ = 71002848.

The previous prime is 106541119. The next prime is 106541153. The reversal of 106541133 is 331145601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106541133 - 24 = 106541117 is a prime.

It is a super-2 number, since 2×1065411332 = 22702026041847378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106541153) 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 7 ways as a sum of consecutive naturals, for example, 10128 + ... + 17766.

It is an arithmetic number, because the mean of its divisors is an integer number (17763000).

Almost surely, 2106541133 is an apocalyptic number.

It is an amenable number.

106541133 is a deficient number, since it is larger than the sum of its proper divisors (35562867).

106541133 is an equidigital number, since it uses as much as digits as its factorization.

106541133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106541133 is about 10321.8764282469. The cubic root of 106541133 is about 474.0663217922.

Adding to 106541133 its reverse (331145601), we get a palindrome (437686734).

The spelling of 106541133 in words is "one hundred six million, five hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 3 4649 7639 13947 22917 35513711 106541133