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106506165613 is a prime number
BaseRepresentation
bin110001100110001000…
…0110001110101101101
3101011220121010210121111
41203030100301311231
53221111034244423
6120532300432021
710460215320241
oct1431420616555
9334817123544
10106506165613
1141194a54681
1218784848611
13a07470ba93
14522518c421
152b8550760d
hex18cc431d6d

106506165613 has 2 divisors, whose sum is σ = 106506165614. Its totient is φ = 106506165612.

The previous prime is 106506165611. The next prime is 106506165671. The reversal of 106506165613 is 316561605601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95321622564 + 11184543049 = 308742^2 + 105757^2 .

It is a cyclic number.

It is not a de Polignac number, because 106506165613 - 21 = 106506165611 is a prime.

It is a super-2 number, since 2×1065061656132 (a number of 23 digits) contains 22 as substring.

Together with 106506165611, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106506165611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53253082806 + 53253082807.

It is an arithmetic number, because the mean of its divisors is an integer number (53253082807).

Almost surely, 2106506165613 is an apocalyptic number.

It is an amenable number.

106506165613 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506165613 is an equidigital number, since it uses as much as digits as its factorization.

106506165613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 106506165613 in words is "one hundred six billion, five hundred six million, one hundred sixty-five thousand, six hundred thirteen".