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106006037 is a prime number
BaseRepresentation
bin1100101000110…
…00011000010101
321101110122221112
412110120120111
5204114143122
614304024405
72425015334
oct624303025
9241418845
10106006037
11549239a5
122b602105
1318c67487
1410115d1b
15948e2e2
hex6518615

106006037 has 2 divisors, whose sum is σ = 106006038. Its totient is φ = 106006036.

The previous prime is 106006013. The next prime is 106006093. The reversal of 106006037 is 730600601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105966436 + 39601 = 10294^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 106006037 - 26 = 106005973 is a prime.

It is a super-2 number, since 2×1060060372 = 22474559760890738, 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 (106006007) 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, 53003018 + 53003019.

It is an arithmetic number, because the mean of its divisors is an integer number (53003019).

Almost surely, 2106006037 is an apocalyptic number.

It is an amenable number.

106006037 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006037 is an equidigital number, since it uses as much as digits as its factorization.

106006037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 106006037 is about 10295.9233194503. The cubic root of 106006037 is about 473.2713334892.

Adding to 106006037 its reverse (730600601), we get a palindrome (836606638).

The spelling of 106006037 in words is "one hundred six million, six thousand, thirty-seven".