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106105620917 is a prime number
BaseRepresentation
bin110001011010001100…
…0110100100110110101
3101010212200110000120202
41202310120310212311
53214301014332132
6120424431410245
710444252616402
oct1426430644665
9333780400522
10106105620917
1140aa99474aa
1218692683985
13a00c73959a
1451c7cc52a9
152b60287762
hex18b46349b5

106105620917 has 2 divisors, whose sum is σ = 106105620918. Its totient is φ = 106105620916.

The previous prime is 106105620911. The next prime is 106105620953. The reversal of 106105620917 is 719026501601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104588206801 + 1517414116 = 323401^2 + 38954^2 .

It is a cyclic number.

It is not a de Polignac number, because 106105620917 - 28 = 106105620661 is a prime.

It is a super-2 number, since 2×1061056209172 (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 (106105620911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53052810458 + 53052810459.

It is an arithmetic number, because the mean of its divisors is an integer number (53052810459).

Almost surely, 2106105620917 is an apocalyptic number.

It is an amenable number.

106105620917 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105620917 is an equidigital number, since it uses as much as digits as its factorization.

106105620917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 106105620917 in words is "one hundred six billion, one hundred five million, six hundred twenty thousand, nine hundred seventeen".