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105263149 is a prime number
BaseRepresentation
bin1100100011000…
…11000000101101
321100001220220011
412101203000231
5203421410044
614240053221
72415502435
oct621430055
9240056804
10105263149
1154466842
122b304211
1318a672b4
14dda12c5
159394134
hex646302d

105263149 has 2 divisors, whose sum is σ = 105263150. Its totient is φ = 105263148.

The previous prime is 105263143. The next prime is 105263161. The reversal of 105263149 is 941362501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104407524 + 855625 = 10218^2 + 925^2 .

It is a cyclic number.

It is not a de Polignac number, because 105263149 - 25 = 105263117 is a prime.

It is a super-2 number, since 2×1052631492 = 22160661074792402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105263149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105263143) 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, 52631574 + 52631575.

It is an arithmetic number, because the mean of its divisors is an integer number (52631575).

Almost surely, 2105263149 is an apocalyptic number.

It is an amenable number.

105263149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105263149 is an equidigital number, since it uses as much as digits as its factorization.

105263149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105263149 is about 10259.7830873757. The cubic root of 105263149 is about 472.1631824094.

The spelling of 105263149 in words is "one hundred five million, two hundred sixty-three thousand, one hundred forty-nine".