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106101056597 is a prime number
BaseRepresentation
bin110001011010000011…
…1011010010001010101
3101010212100212010111212
41202310013122101111
53214243332302342
6120424145511205
710444166046344
oct1426407322125
9333770763455
10106101056597
1140aa730a238
1218691042505
13a00b7cbbc3
1451c7457b5b
152b5eb85182
hex18b41da455

106101056597 has 2 divisors, whose sum is σ = 106101056598. Its totient is φ = 106101056596.

The previous prime is 106101056569. The next prime is 106101056671. The reversal of 106101056597 is 795650101601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76153369681 + 29947686916 = 275959^2 + 173054^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101056597 - 212 = 106101052501 is a prime.

It is a super-2 number, since 2×1061010565972 (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 (106101056507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050528298 + 53050528299.

It is an arithmetic number, because the mean of its divisors is an integer number (53050528299).

Almost surely, 2106101056597 is an apocalyptic number.

It is an amenable number.

106101056597 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101056597 is an equidigital number, since it uses as much as digits as its factorization.

106101056597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 41.

The spelling of 106101056597 in words is "one hundred six billion, one hundred one million, fifty-six thousand, five hundred ninety-seven".