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106536006 = 2331972889
BaseRepresentation
bin1100101100110…
…01110001000110
321102110120221000
412112121301012
5204233123011
614323234130
72432353413
oct626316106
9242416830
10106536006
1155156095
122b818946
13190c1775
141021310a
159546356
hex6599c46

106536006 has 16 divisors (see below), whose sum is σ = 236746800. Its totient is φ = 35511984.

The previous prime is 106535993. The next prime is 106536007. The reversal of 106536006 is 600635601.

106536006 is a `hidden beast` number, since 1 + 0 + 6 + 53 + 600 + 6 = 666.

It is a super-2 number, since 2×1065360062 = 22699841148864072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106536007) 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, 986391 + ... + 986498.

It is an arithmetic number, because the mean of its divisors is an integer number (14796675).

Almost surely, 2106536006 is an apocalyptic number.

106536006 is an abundant number, since it is smaller than the sum of its proper divisors (130210794).

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

106536006 is a wasteful number, since it uses less digits than its factorization.

106536006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972900 (or 1972894 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106536006 is about 10321.6280692534. The cubic root of 106536006 is about 474.0587172894.

The spelling of 106536006 in words is "one hundred six million, five hundred thirty-six thousand, six".

Divisors: 1 2 3 6 9 18 27 54 1972889 3945778 5918667 11837334 17756001 35512002 53268003 106536006