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105341201 = 789353479
BaseRepresentation
bin1100100011101…
…10000100010001
321100012212221222
412101312010101
5203431404301
614241454425
72416246130
oct621660421
9240185858
10105341201
115450a449
122b341415
1318a93994
14ddc1917
1593ac31b
hex6476111

105341201 has 16 divisors (see below), whose sum is σ = 122342400. Its totient is φ = 88839168.

The previous prime is 105341189. The next prime is 105341213. The reversal of 105341201 is 102143501.

It is an interprime number because it is at equal distance from previous prime (105341189) and next prime (105341213).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105341201 is a prime.

It is a super-2 number, since 2×1053412012 = 22193537256244802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105341201.

It is not an unprimeable number, because it can be changed into a prime (105341221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219680 + ... + 220158.

It is an arithmetic number, because the mean of its divisors is an integer number (7646400).

Almost surely, 2105341201 is an apocalyptic number.

It is an amenable number.

105341201 is a deficient number, since it is larger than the sum of its proper divisors (17001199).

105341201 is an equidigital number, since it uses as much as digits as its factorization.

105341201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105341201 is about 10263.5861666379. The cubic root of 105341201 is about 472.2798556421.

Adding to 105341201 its reverse (102143501), we get a palindrome (207484702).

The spelling of 105341201 in words is "one hundred five million, three hundred forty-one thousand, two hundred one".

Divisors: 1 7 89 353 479 623 2471 3353 31417 42631 169087 219919 298417 1183609 15048743 105341201