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105143125 = 54295801
BaseRepresentation
bin1100100010001…
…01101101010101
321022211211020211
412101011231111
5203404040000
614233325421
72414462503
oct621055525
9238754224
10105143125
115439464a
122b266871
1318a24789
14dd6d673
15936d7ba
hex6445b55

105143125 has 20 divisors (see below), whose sum is σ = 135940860. Its totient is φ = 81200000.

The previous prime is 105143123. The next prime is 105143153. The reversal of 105143125 is 521341501.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 46758244 + 58384881 = 6838^2 + 7641^2 .

It is not a de Polignac number, because 105143125 - 21 = 105143123 is a prime.

It is a super-2 number, since 2×1051431252 = 22110153469531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105143096 and 105143105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143123) 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, 15225 + ... + 21025.

It is an arithmetic number, because the mean of its divisors is an integer number (6797043).

Almost surely, 2105143125 is an apocalyptic number.

It is an amenable number.

105143125 is a deficient number, since it is larger than the sum of its proper divisors (30797735).

105143125 is an frugal number, since it uses more digits than its factorization.

105143125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105143125 is about 10253.9321725863. The cubic root of 105143125 is about 471.9836562496.

Adding to 105143125 its reverse (521341501), we get a palindrome (626484626).

The spelling of 105143125 in words is "one hundred five million, one hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 625 725 3625 5801 18125 29005 145025 168229 725125 841145 3625625 4205725 21028625 105143125