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106507441 is a prime number
BaseRepresentation
bin1100101100100…
…10110010110001
321102102010202001
412112102302301
5204231214231
614322454001
72432204215
oct626226261
9242363661
10106507441
1155136687
122b804301
13190b1771
1410206945
15953cb61
hex6592cb1

106507441 has 2 divisors, whose sum is σ = 106507442. Its totient is φ = 106507440.

The previous prime is 106507409. The next prime is 106507451. The reversal of 106507441 is 144705601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106502400 + 5041 = 10320^2 + 71^2 .

It is an emirp because it is prime and its reverse (144705601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106507441 - 25 = 106507409 is a prime.

It is a super-2 number, since 2×1065074412 = 22687669976736962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106507451) 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, 53253720 + 53253721.

It is an arithmetic number, because the mean of its divisors is an integer number (53253721).

Almost surely, 2106507441 is an apocalyptic number.

It is an amenable number.

106507441 is a deficient number, since it is larger than the sum of its proper divisors (1).

106507441 is an equidigital number, since it uses as much as digits as its factorization.

106507441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 106507441 is about 10320.2442316061. The cubic root of 106507441 is about 474.0163444547.

The spelling of 106507441 in words is "one hundred six million, five hundred seven thousand, four hundred forty-one".