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105505511109 = 3418921145677
BaseRepresentation
bin110001001000010011…
…1100101011011000101
3101002022212020021200120
41202100213211123011
53212033402323414
6120245113132153
710423345022205
oct1422047453305
9332285207616
10105505511109
1140821124089
12185456ba059
139c45302a1b
14516c310405
152b277472a9
hex18909e56c5

105505511109 has 32 divisors (see below), whose sum is σ = 146418088320. Its totient is φ = 67527398400.

The previous prime is 105505511087. The next prime is 105505511131. The reversal of 105505511109 is 901115505501.

It is an interprime number because it is at equal distance from previous prime (105505511087) and next prime (105505511131).

It is not a de Polignac number, because 105505511109 - 225 = 105471956677 is a prime.

It is a super-2 number, since 2×1055055111092 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105505511109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505511149) 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 31 ways as a sum of consecutive naturals, for example, 2286979 + ... + 2332655.

It is an arithmetic number, because the mean of its divisors is an integer number (4575565260).

Almost surely, 2105505511109 is an apocalyptic number.

It is an amenable number.

105505511109 is a deficient number, since it is larger than the sum of its proper divisors (40912577211).

105505511109 is a wasteful number, since it uses less digits than its factorization.

105505511109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46021.

The product of its (nonzero) digits is 5625, while the sum is 33.

The spelling of 105505511109 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred nine".

Divisors: 1 3 41 89 123 211 267 633 3649 8651 10947 18779 25953 45677 56337 137031 769939 1872757 2309817 4065253 5618271 9637847 12195759 28913541 166675373 395151727 500026119 857768383 1185455181 2573305149 35168503703 105505511109