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105148193 is a prime number
BaseRepresentation
bin1100100010001…
…10111100100001
321022212002012112
412101012330201
5203404220233
614233405105
72414513333
oct621067441
9238762175
10105148193
1154398437
122b269795
1318a26b87
14dd71453
159370048
hex6446f21

105148193 has 2 divisors, whose sum is σ = 105148194. Its totient is φ = 105148192.

The previous prime is 105148181. The next prime is 105148243. The reversal of 105148193 is 391841501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85229824 + 19918369 = 9232^2 + 4463^2 .

It is a cyclic number.

It is not a de Polignac number, because 105148193 - 24 = 105148177 is a prime.

It is a super-2 number, since 2×1051481932 = 22112284982330498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105148103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52574096 + 52574097.

It is an arithmetic number, because the mean of its divisors is an integer number (52574097).

Almost surely, 2105148193 is an apocalyptic number.

It is an amenable number.

105148193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105148193 is an equidigital number, since it uses as much as digits as its factorization.

105148193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 105148193 is about 10254.1792943170. The cubic root of 105148193 is about 471.9912394836.

Adding to 105148193 its reverse (391841501), we get a palindrome (496989694).

The spelling of 105148193 in words is "one hundred five million, one hundred forty-eight thousand, one hundred ninety-three".