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106566582797 is a prime number
BaseRepresentation
bin110001100111111011…
…1010000001000001101
3101012001210211022101222
41203033313100020031
53221222021122142
6120542255413125
710461551002523
oct1431767201015
9335053738358
10106566582797
114121606aa34
12187a0b241a5
13a0840a38ac
14522d1d8313
152b8a98dbd2
hex18cfdd020d

106566582797 has 2 divisors, whose sum is σ = 106566582798. Its totient is φ = 106566582796.

The previous prime is 106566582769. The next prime is 106566582799. The reversal of 106566582797 is 797285665601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84514629796 + 22051953001 = 290714^2 + 148499^2 .

It is a cyclic number.

It is not a de Polignac number, because 106566582797 - 28 = 106566582541 is a prime.

It is a super-2 number, since 2×1065665827972 (a number of 23 digits) contains 22 as substring.

Together with 106566582799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106566582799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53283291398 + 53283291399.

It is an arithmetic number, because the mean of its divisors is an integer number (53283291399).

Almost surely, 2106566582797 is an apocalyptic number.

It is an amenable number.

106566582797 is a deficient number, since it is larger than the sum of its proper divisors (1).

106566582797 is an equidigital number, since it uses as much as digits as its factorization.

106566582797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38102400, while the sum is 62.

The spelling of 106566582797 in words is "one hundred six billion, five hundred sixty-six million, five hundred eighty-two thousand, seven hundred ninety-seven".