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105607141 is a prime number
BaseRepresentation
bin1100100101101…
…10111111100101
321100201101202121
412102312333211
5204013412031
614251305541
72421434353
oct622667745
9240641677
10105607141
1154681232
122b44b2b1
1318b57a43
14100507d3
159411011
hex64b6fe5

105607141 has 2 divisors, whose sum is σ = 105607142. Its totient is φ = 105607140.

The previous prime is 105607127. The next prime is 105607153. The reversal of 105607141 is 141706501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85840225 + 19766916 = 9265^2 + 4446^2 .

It is a cyclic number.

It is not a de Polignac number, because 105607141 - 27 = 105607013 is a prime.

It is a super-2 number, since 2×1056071412 = 22305736460387762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105607171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52803570 + 52803571.

It is an arithmetic number, because the mean of its divisors is an integer number (52803571).

Almost surely, 2105607141 is an apocalyptic number.

It is an amenable number.

105607141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105607141 is an equidigital number, since it uses as much as digits as its factorization.

105607141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105607141 is about 10276.5335108683. The cubic root of 105607141 is about 472.6769543346.

The spelling of 105607141 in words is "one hundred five million, six hundred seven thousand, one hundred forty-one".