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106541596 = 2273805057
BaseRepresentation
bin1100101100110…
…11001000011100
321102110212121001
412112123020130
5204233312341
614323320044
72432405620
oct626331034
9242425531
10106541596
115515a307
122b820024
13190c4185
1410215180
159547d31
hex659b21c

106541596 has 12 divisors (see below), whose sum is σ = 213083248. Its totient is φ = 45660672.

The previous prime is 106541593. The next prime is 106541609. The reversal of 106541596 is 695145601.

106541596 is an admirable number.

It is a super-2 number, since 2×1065415962 = 22702223356454432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106541593) 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 3 ways as a sum of consecutive naturals, for example, 1902501 + ... + 1902556.

Almost surely, 2106541596 is an apocalyptic number.

It is an amenable number.

106541596 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106541596 is a wasteful number, since it uses less digits than its factorization.

106541596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805068 (or 3805066 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 106541596 is about 10321.8988563151. The cubic root of 106541596 is about 474.0670085141.

The spelling of 106541596 in words is "one hundred six million, five hundred forty-one thousand, five hundred ninety-six".

Divisors: 1 2 4 7 14 28 3805057 7610114 15220228 26635399 53270798 106541596