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106002797 is a prime number
BaseRepresentation
bin1100101000101…
…11100101101101
321101110111111112
412110113211231
5204114042142
614304001405
72425003025
oct624274555
9241414445
10106002797
115492151a
122b600265
1318c65b64
1410114a85
15948d382
hex651796d

106002797 has 2 divisors, whose sum is σ = 106002798. Its totient is φ = 106002796.

The previous prime is 106002781. The next prime is 106002823. The reversal of 106002797 is 797200601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82828201 + 23174596 = 9101^2 + 4814^2 .

It is a cyclic number.

It is not a de Polignac number, because 106002797 - 24 = 106002781 is a prime.

It is a super-3 number, since 3×1060027973 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106002707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53001398 + 53001399.

It is an arithmetic number, because the mean of its divisors is an integer number (53001399).

Almost surely, 2106002797 is an apocalyptic number.

It is an amenable number.

106002797 is a deficient number, since it is larger than the sum of its proper divisors (1).

106002797 is an equidigital number, since it uses as much as digits as its factorization.

106002797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 106002797 is about 10295.7659744188. The cubic root of 106002797 is about 473.2665117049.

The spelling of 106002797 in words is "one hundred six million, two thousand, seven hundred ninety-seven".