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106295162537 is a prime number
BaseRepresentation
bin110001011111110101…
…1110111011010101001
3101011100220002201210202
41202333223313122221
53220143030200122
6120455322121545
710452043655024
oct1427753673251
9334326081722
10106295162537
1141096936973
12187260502b5
13a03caa14a5
1452051441bb
152b71c27e92
hex18bfaf76a9

106295162537 has 2 divisors, whose sum is σ = 106295162538. Its totient is φ = 106295162536.

The previous prime is 106295162509. The next prime is 106295162539. The reversal of 106295162537 is 735261592601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80536196521 + 25758966016 = 283789^2 + 160496^2 .

It is a cyclic number.

It is not a de Polignac number, because 106295162537 - 216 = 106295097001 is a prime.

It is a super-2 number, since 2×1062951625372 (a number of 23 digits) contains 22 as substring.

Together with 106295162539, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106295162491 and 106295162500.

It is not a weakly prime, because it can be changed into another prime (106295162539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53147581268 + 53147581269.

It is an arithmetic number, because the mean of its divisors is an integer number (53147581269).

Almost surely, 2106295162537 is an apocalyptic number.

It is an amenable number.

106295162537 is a deficient number, since it is larger than the sum of its proper divisors (1).

106295162537 is an equidigital number, since it uses as much as digits as its factorization.

106295162537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400, while the sum is 47.

The spelling of 106295162537 in words is "one hundred six billion, two hundred ninety-five million, one hundred sixty-two thousand, five hundred thirty-seven".