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1106105055 = 35117279221
BaseRepresentation
bin100000111101101…
…1101001011011111
32212002022221212220
41001323131023133
54231130330210
6301431400423
736260511036
oct10173351337
92762287786
101106105055
11518405110
1226a523113
1314820a743
14a6c8b71d
156718ec70
hex41edd2df

1106105055 has 32 divisors (see below), whose sum is σ = 1933521408. Its totient is φ = 535497600.

The previous prime is 1106105053. The next prime is 1106105059. The reversal of 1106105055 is 5505016011.

It is not a de Polignac number, because 1106105055 - 21 = 1106105053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106105053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115345 + ... + 124565.

It is an arithmetic number, because the mean of its divisors is an integer number (60422544).

Almost surely, 21106105055 is an apocalyptic number.

1106105055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1106105055 is a deficient number, since it is larger than the sum of its proper divisors (827416353).

1106105055 is a wasteful number, since it uses less digits than its factorization.

1106105055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967.

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 1106105055 is about 33258.1577210765. The cubic root of 1106105055 is about 1034.1863286858.

The spelling of 1106105055 in words is "one billion, one hundred six million, one hundred five thousand, fifty-five".

Divisors: 1 3 5 11 15 33 55 165 727 2181 3635 7997 9221 10905 23991 27663 39985 46105 101431 119955 138315 304293 507155 1521465 6703667 20111001 33518335 73740337 100555005 221221011 368701685 1106105055