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106321316 = 22137194017
BaseRepresentation
bin1100101011001…
…01010110100100
321102001200102112
412111211112210
5204204240231
614314500152
72430500453
oct625452644
9242050375
10106321316
1155019862
122b734658
1319047b2a
1410198b9a
15950292b
hex65655a4

106321316 has 12 divisors (see below), whose sum is σ = 187421388. Its totient is φ = 52772352.

The previous prime is 106321309. The next prime is 106321331. The reversal of 106321316 is 613123601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87796900 + 18524416 = 9370^2 + 4304^2 .

It is a super-2 number, since 2×1063213162 = 22608444471943712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106321291 and 106321300.

It is an unprimeable number.

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, 96461 + ... + 97556.

It is an arithmetic number, because the mean of its divisors is an integer number (15618449).

Almost surely, 2106321316 is an apocalyptic number.

It is an amenable number.

106321316 is a deficient number, since it is larger than the sum of its proper divisors (81100072).

106321316 is a wasteful number, since it uses less digits than its factorization.

106321316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194158 (or 194156 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 106321316 is about 10311.2228178815. Note that the first 3 decimals coincide. The cubic root of 106321316 is about 473.7400641187.

Adding to 106321316 its reverse (613123601), we get a palindrome (719444917).

The spelling of 106321316 in words is "one hundred six million, three hundred twenty-one thousand, three hundred sixteen".

Divisors: 1 2 4 137 274 548 194017 388034 776068 26580329 53160658 106321316