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105175341 = 343373853
BaseRepresentation
bin1100100010011…
…01100100101101
321022220110110000
412101031210231
5203411102331
614234134513
72414655435
oct621154455
9238813400
10105175341
1154406877
122b281439
1318a3633b
14dd7b2c5
1593780e6
hex644d92d

105175341 has 20 divisors (see below), whose sum is σ = 157620892. Its totient is φ = 69890688.

The previous prime is 105175339. The next prime is 105175363. The reversal of 105175341 is 143571501.

It can be written as a sum of positive squares in 2 ways, for example, as 75429225 + 29746116 = 8685^2 + 5454^2 .

It is not a de Polignac number, because 105175341 - 21 = 105175339 is a prime.

It is a super-2 number, since 2×1051753412 = 22123704708932562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105175381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25371 + ... + 29223.

Almost surely, 2105175341 is an apocalyptic number.

It is an amenable number.

105175341 is a deficient number, since it is larger than the sum of its proper divisors (52445551).

105175341 is an equidigital number, since it uses as much as digits as its factorization.

105175341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105175341 is about 10255.5029618249. The cubic root of 105175341 is about 472.0318568104.

The spelling of 105175341 in words is "one hundred five million, one hundred seventy-five thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 337 1011 3033 3853 9099 11559 27297 34677 104031 312093 1298461 3895383 11686149 35058447 105175341