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106563635047 is a prime number
BaseRepresentation
bin110001100111110110…
…0000000011101100111
3101012001121021112212001
41203033230000131213
53221220242310142
6120542112310131
710461513644512
oct1431754003547
9335047245761
10106563635047
1141214437281
121879bb42347
13a0835b0c6c
14522ca6bd79
152b8a5aa5b7
hex18cfb00767

106563635047 has 2 divisors, whose sum is σ = 106563635048. Its totient is φ = 106563635046.

The previous prime is 106563635041. The next prime is 106563635069. The reversal of 106563635047 is 740536365601.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106563635047 is a prime.

It is a super-2 number, since 2×1065636350472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106563634988 and 106563635006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106563635041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53281817523 + 53281817524.

It is an arithmetic number, because the mean of its divisors is an integer number (53281817524).

Almost surely, 2106563635047 is an apocalyptic number.

106563635047 is a deficient number, since it is larger than the sum of its proper divisors (1).

106563635047 is an equidigital number, since it uses as much as digits as its factorization.

106563635047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 106563635047 in words is "one hundred six billion, five hundred sixty-three million, six hundred thirty-five thousand, forty-seven".