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1106105065 = 51397175433
BaseRepresentation
bin100000111101101…
…1101001011101001
32212002022221220021
41001323131023221
54231130330230
6301431400441
736260511052
oct10173351351
92762287807
101106105065
1151840511a
1226a523121
1314820a750
14a6c8b729
156718ec7a
hex41edd2e9

1106105065 has 16 divisors (see below), whose sum is σ = 1444172688. Its totient is φ = 808390656.

The previous prime is 1106105059. The next prime is 1106105069. The reversal of 1106105065 is 5605016011.

It can be written as a sum of positive squares in 8 ways, for example, as 228523689 + 877581376 = 15117^2 + 29624^2 .

It is a cyclic number.

It is not a de Polignac number, because 1106105065 - 29 = 1106104553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106105069) 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 15 ways as a sum of consecutive naturals, for example, 81412 + ... + 94021.

It is an arithmetic number, because the mean of its divisors is an integer number (90260793).

Almost surely, 21106105065 is an apocalyptic number.

It is an amenable number.

1106105065 is a deficient number, since it is larger than the sum of its proper divisors (338067623).

1106105065 is a wasteful number, since it uses less digits than its factorization.

1106105065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175548.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1106105065 is about 33258.1578714155. The cubic root of 1106105065 is about 1034.1863318024.

The spelling of 1106105065 in words is "one billion, one hundred six million, one hundred five thousand, sixty-five".

Divisors: 1 5 13 65 97 485 1261 6305 175433 877165 2280629 11403145 17017001 85085005 221221013 1106105065