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106563637 is a prime number
BaseRepresentation
bin1100101101000…
…00100000110101
321102111222211101
412112200200311
5204240014022
614324010101
72432530105
oct626404065
9242458741
10106563637
1155174924
122b830931
131910120b
141021d205
15954e627
hex65a0835

106563637 has 2 divisors, whose sum is σ = 106563638. Its totient is φ = 106563636.

The previous prime is 106563629. The next prime is 106563641. The reversal of 106563637 is 736365601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61324561 + 45239076 = 7831^2 + 6726^2 .

It is a cyclic number.

It is not a de Polignac number, because 106563637 - 23 = 106563629 is a prime.

It is a super-2 number, since 2×1065636372 = 22711617461335538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106563596 and 106563605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106563437) 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, 53281818 + 53281819.

It is an arithmetic number, because the mean of its divisors is an integer number (53281819).

Almost surely, 2106563637 is an apocalyptic number.

It is an amenable number.

106563637 is a deficient number, since it is larger than the sum of its proper divisors (1).

106563637 is an equidigital number, since it uses as much as digits as its factorization.

106563637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 106563637 is about 10322.9664825572. The cubic root of 106563637 is about 474.0996974383.

The spelling of 106563637 in words is "one hundred six million, five hundred sixty-three thousand, six hundred thirty-seven".