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105532261 is a prime number
BaseRepresentation
bin1100100101001…
…00101101100101
321100120121001021
412102210231211
5204004013021
614245531141
72421003142
oct622445545
9240517037
10105532261
115462aa4a
122b413ab1
1318b2c933
14100313c9
1593e8c41
hex64a4b65

105532261 has 2 divisors, whose sum is σ = 105532262. Its totient is φ = 105532260.

The previous prime is 105532253. The next prime is 105532267. The reversal of 105532261 is 162235501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105165025 + 367236 = 10255^2 + 606^2 .

It is an emirp because it is prime and its reverse (162235501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105532261 - 23 = 105532253 is a prime.

It is a super-2 number, since 2×1055322612 = 22274116223544242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105532267) 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 as a sum of consecutive naturals, namely, 52766130 + 52766131.

It is an arithmetic number, because the mean of its divisors is an integer number (52766131).

Almost surely, 2105532261 is an apocalyptic number.

It is an amenable number.

105532261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105532261 is an equidigital number, since it uses as much as digits as its factorization.

105532261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 105532261 is about 10272.8896129570. The cubic root of 105532261 is about 472.5652118312.

Adding to 105532261 its reverse (162235501), we get a palindrome (267767762).

The spelling of 105532261 in words is "one hundred five million, five hundred thirty-two thousand, two hundred sixty-one".