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105442675481 = 11131938808493
BaseRepresentation
bin110001000110011011…
…1111000101100011001
3101002011110222220102002
41202030313320230121
53211421311103411
6120234550250345
710421652645023
oct1421467705431
9332143886362
10105442675481
1140799706810
12185286569b5
139c352a2190
145163c35013
152b21e8433b
hex188cdf8b19

105442675481 has 16 divisors (see below), whose sum is σ = 130396539840. Its totient is φ = 83826342720.

The previous prime is 105442675477. The next prime is 105442675489. The reversal of 105442675481 is 184576244501.

It is a cyclic number.

It is not a de Polignac number, because 105442675481 - 22 = 105442675477 is a prime.

It is a super-2 number, since 2×1054426754812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105442675489) 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 15 ways as a sum of consecutive naturals, for example, 19401530 + ... + 19406963.

It is an arithmetic number, because the mean of its divisors is an integer number (8149783740).

Almost surely, 2105442675481 is an apocalyptic number.

105442675481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105442675481 is a deficient number, since it is larger than the sum of its proper divisors (24953864359).

105442675481 is a wasteful number, since it uses less digits than its factorization.

105442675481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38808536.

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 105442675481 in words is "one hundred five billion, four hundred forty-two million, six hundred seventy-five thousand, four hundred eighty-one".

Divisors: 1 11 13 19 143 209 247 2717 38808493 426893423 504510409 737361367 5549614499 8110975037 9585697771 105442675481