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105493516105 = 5137267757529
BaseRepresentation
bin110001000111111100…
…1110100111101001001
3101002022000122212122011
41202033321310331021
53212022320003410
6120244004055521
710423141043305
oct1421771647511
9332260585564
10105493516105
114081538105a
12185416945a1
139c429930a3
14516a8aad05
152b2667818a
hex188fe74f49

105493516105 has 16 divisors (see below), whose sum is σ = 127566101520. Its totient is φ = 83746040832.

The previous prime is 105493516103. The next prime is 105493516147. The reversal of 105493516105 is 501615394501.

It can be written as a sum of positive squares in 8 ways, for example, as 2681582656 + 102811933449 = 51784^2 + 320643^2 .

It is a cyclic number.

It is not a de Polignac number, because 105493516105 - 21 = 105493516103 is a prime.

It is a super-2 number, since 2×1054935161052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105493516103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1804981 + ... + 1862509.

It is an arithmetic number, because the mean of its divisors is an integer number (7972881345).

Almost surely, 2105493516105 is an apocalyptic number.

It is an amenable number.

105493516105 is a deficient number, since it is larger than the sum of its proper divisors (22072585415).

105493516105 is a wasteful number, since it uses less digits than its factorization.

105493516105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60348.

The product of its (nonzero) digits is 81000, while the sum is 40.

The spelling of 105493516105 in words is "one hundred five billion, four hundred ninety-three million, five hundred sixteen thousand, one hundred five".

Divisors: 1 5 137 685 2677 13385 57529 287645 366749 1833745 7881473 39407365 154005133 770025665 21098703221 105493516105