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106006216 = 231373112
BaseRepresentation
bin1100101000110…
…00011011001000
321101110200012011
412110120123020
5204114144331
614304025304
72425016011
oct624303310
9241420164
10106006216
1154924048
122b602234
1318c67594
1410116008
15948e3b1
hex65186c8

106006216 has 24 divisors (see below), whose sum is σ = 200858310. Its totient is φ = 52447040.

The previous prime is 106006211. The next prime is 106006217. The reversal of 106006216 is 612600601.

It can be written as a sum of positive squares in only one way, i.e., 87048900 + 18957316 = 9330^2 + 4354^2 .

It is a super-2 number, since 2×1060062162 = 22474635661277312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340701 + ... + 341011.

Almost surely, 2106006216 is an apocalyptic number.

It is an amenable number.

106006216 is a deficient number, since it is larger than the sum of its proper divisors (94852094).

106006216 is an equidigital number, since it uses as much as digits as its factorization.

106006216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106006216 is about 10295.9320122075. The cubic root of 106006216 is about 473.2715998750.

Adding to 106006216 its reverse (612600601), we get a palindrome (718606817).

The spelling of 106006216 in words is "one hundred six million, six thousand, two hundred sixteen".

Divisors: 1 2 4 8 137 274 311 548 622 1096 1244 2488 42607 85214 96721 170428 193442 340856 386884 773768 13250777 26501554 53003108 106006216