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116026105 = 51321741197
BaseRepresentation
bin1101110101001…
…10101011111001
322002022201220011
412322212223321
5214200313410
615302501521
72606130346
oct672465371
9262281804
10116026105
115a548148
1232a348a1
131b065200
14115a37cd
15a2bd18a
hex6ea6af9

116026105 has 48 divisors (see below), whose sum is σ = 164357424. Its totient is φ = 78274560.

The previous prime is 116026091. The next prime is 116026109. The reversal of 116026105 is 501620611.

It can be written as a sum of positive squares in 24 ways, for example, as 88284816 + 27741289 = 9396^2 + 5267^2 .

It is not a de Polignac number, because 116026105 - 215 = 115993337 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116026109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588867 + ... + 589063.

It is an arithmetic number, because the mean of its divisors is an integer number (3424113).

Almost surely, 2116026105 is an apocalyptic number.

It is an amenable number.

116026105 is a deficient number, since it is larger than the sum of its proper divisors (48331319).

116026105 is a wasteful number, since it uses less digits than its factorization.

116026105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 116026105 is about 10771.5414402953. The cubic root of 116026105 is about 487.7364778627.

Adding to 116026105 its reverse (501620611), we get a palindrome (617646716).

The spelling of 116026105 in words is "one hundred sixteen million, twenty-six thousand, one hundred five".

Divisors: 1 5 13 17 41 65 85 169 197 205 221 533 697 845 985 1105 2561 2665 2873 3349 3485 6929 8077 9061 12805 14365 16745 33293 34645 40385 43537 45305 105001 117793 137309 166465 217685 525005 565981 588965 686545 1365013 1785017 2829905 6825065 8925085 23205221 116026105