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105055141 is a prime number
BaseRepresentation
bin1100100001100…
…00001110100101
321022200100120011
412100300032211
5203343231031
614231410221
72413645132
oct620601645
9238610504
10105055141
1154334534
122b223971
13189c3709
14dd49589
1593526b1
hex64303a5

105055141 has 2 divisors, whose sum is σ = 105055142. Its totient is φ = 105055140.

The previous prime is 105055133. The next prime is 105055147. The reversal of 105055141 is 141550501.

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., 89680900 + 15374241 = 9470^2 + 3921^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055141 - 23 = 105055133 is a prime.

It is a super-2 number, since 2×1050551412 = 22073165301059762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105055147) 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 as a sum of consecutive naturals, namely, 52527570 + 52527571.

It is an arithmetic number, because the mean of its divisors is an integer number (52527571).

Almost surely, 2105055141 is an apocalyptic number.

It is an amenable number.

105055141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055141 is an equidigital number, since it uses as much as digits as its factorization.

105055141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 105055141 is about 10249.6410181040. The cubic root of 105055141 is about 471.8519671871.

The spelling of 105055141 in words is "one hundred five million, fifty-five thousand, one hundred forty-one".