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106617241 is a prime number
BaseRepresentation
bin1100101101011…
…01100110011001
321102121201100201
412112231212121
5204243222431
614325102201
72433142303
oct626554631
9242551321
10106617241
1155201125
122b857961
131911c733
1410234973
159560461
hex65ad999

106617241 has 2 divisors, whose sum is σ = 106617242. Its totient is φ = 106617240.

The previous prime is 106617143. The next prime is 106617263. The reversal of 106617241 is 142716601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59351616 + 47265625 = 7704^2 + 6875^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106617241 is a prime.

It is a super-2 number, since 2×1066172412 = 22734472156904162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106617281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53308620 + 53308621.

It is an arithmetic number, because the mean of its divisors is an integer number (53308621).

Almost surely, 2106617241 is an apocalyptic number.

It is an amenable number.

106617241 is a deficient number, since it is larger than the sum of its proper divisors (1).

106617241 is an equidigital number, since it uses as much as digits as its factorization.

106617241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 106617241 is about 10325.5625028373. The cubic root of 106617241 is about 474.1791785223.

The spelling of 106617241 in words is "one hundred six million, six hundred seventeen thousand, two hundred forty-one".