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106010506037 is a prime number
BaseRepresentation
bin110001010111010110…
…1111111001100110101
3101010122001110200111102
41202232231333030311
53214102142143122
6120411153015445
710442016301502
oct1425655771465
9333561420442
10106010506037
1140a60192267
1218666854585
139cc5b164a7
1451b94064a9
152b56c4a492
hex18aeb7f335

106010506037 has 2 divisors, whose sum is σ = 106010506038. Its totient is φ = 106010506036.

The previous prime is 106010506027. The next prime is 106010506087. The reversal of 106010506037 is 730605010601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87905727121 + 18104778916 = 296489^2 + 134554^2 .

It is a cyclic number.

It is not a de Polignac number, because 106010506037 - 26 = 106010505973 is a prime.

It is a super-2 number, since 2×1060105060372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106010506027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005253018 + 53005253019.

It is an arithmetic number, because the mean of its divisors is an integer number (53005253019).

Almost surely, 2106010506037 is an apocalyptic number.

It is an amenable number.

106010506037 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010506037 is an equidigital number, since it uses as much as digits as its factorization.

106010506037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 106010506037 its reverse (730605010601), we get a palindrome (836615516638).

The spelling of 106010506037 in words is "one hundred six billion, ten million, five hundred six thousand, thirty-seven".