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106536067 = 1122942293
BaseRepresentation
bin1100101100110…
…01110010000011
321102110121000021
412112121302003
5204233123232
614323234311
72432353531
oct626316203
9242417007
10106536067
1155156140
122b818997
13190c17c1
1410213151
159546397
hex6599c83

106536067 has 8 divisors (see below), whose sum is σ = 116731440. Its totient is φ = 96425760.

The previous prime is 106536049. The next prime is 106536107. The reversal of 106536067 is 760635601.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 106536067 - 223 = 98147459 is a prime.

It is a super-2 number, since 2×1065360672 = 22699867143656978, which contains 22 as substring.

It is a Duffinian 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, 18628 + ... + 23665.

It is an arithmetic number, because the mean of its divisors is an integer number (14591430).

Almost surely, 2106536067 is an apocalyptic number.

106536067 is a deficient number, since it is larger than the sum of its proper divisors (10195373).

106536067 is a wasteful number, since it uses less digits than its factorization.

106536067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42533.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 106536067 is about 10321.6310242132. The cubic root of 106536067 is about 474.0588077677.

The spelling of 106536067 in words is "one hundred six million, five hundred thirty-six thousand, sixty-seven".

Divisors: 1 11 229 2519 42293 465223 9685097 106536067