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106563997 is a prime number
BaseRepresentation
bin1100101101000…
…00100110011101
321102112000022201
412112200212131
5204240021442
614324011501
72432531131
oct626404635
9242460281
10106563997
1155175121
122b830b91
1319101427
141021d3c1
15954e7b7
hex65a099d

106563997 has 2 divisors, whose sum is σ = 106563998. Its totient is φ = 106563996.

The previous prime is 106563983. The next prime is 106564039. The reversal of 106563997 is 799365601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57927321 + 48636676 = 7611^2 + 6974^2 .

It is an emirp because it is prime and its reverse (799365601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106563997 is a prime.

It is a super-2 number, since 2×1065639972 = 22711770913232018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106563937) 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, 53281998 + 53281999.

It is an arithmetic number, because the mean of its divisors is an integer number (53281999).

Almost surely, 2106563997 is an apocalyptic number.

It is an amenable number.

106563997 is a deficient number, since it is larger than the sum of its proper divisors (1).

106563997 is an equidigital number, since it uses as much as digits as its factorization.

106563997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 46.

The square root of 106563997 is about 10322.9839193907. The cubic root of 106563997 is about 474.1002313155.

The spelling of 106563997 in words is "one hundred six million, five hundred sixty-three thousand, nine hundred ninety-seven".