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106706337 = 31911231667
BaseRepresentation
bin1100101110000…
…11010110100001
321102210020120120
412113003112201
5204304100322
614331030453
72433663123
oct627032641
9242706516
10106706337
1155262061
122b89b429
131915115a
1410259213
15957ba5c
hex65c35a1

106706337 has 16 divisors (see below), whose sum is σ = 149986560. Its totient is φ = 67293072.

The previous prime is 106706333. The next prime is 106706357. The reversal of 106706337 is 733607601.

It is not a de Polignac number, because 106706337 - 22 = 106706333 is a prime.

It is a super-2 number, since 2×1067063372 = 22772484711915138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106706298 and 106706307.

It is not an unprimeable number, because it can be changed into a prime (106706333) 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 15 ways as a sum of consecutive naturals, for example, 63178 + ... + 64844.

It is an arithmetic number, because the mean of its divisors is an integer number (9374160).

Almost surely, 2106706337 is an apocalyptic number.

It is an amenable number.

106706337 is a deficient number, since it is larger than the sum of its proper divisors (43280223).

106706337 is a wasteful number, since it uses less digits than its factorization.

106706337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812.

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 106706337 is about 10329.8759431079. The cubic root of 106706337 is about 474.3112262879.

The spelling of 106706337 in words is "one hundred six million, seven hundred six thousand, three hundred thirty-seven".

Divisors: 1 3 19 57 1123 1667 3369 5001 21337 31673 64011 95019 1872041 5616123 35568779 106706337