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106561044229 is a prime number
BaseRepresentation
bin110001100111110001…
…0000111111100000101
3101012001102101220220211
41203033202013330011
53221214111403404
6120541540555421
710461452634223
oct1431742077405
9335042356824
10106561044229
1141212a27802
121879b0b2b71
13a082bb4933
14522c595b13
152b8a247b04
hex18cf887f05

106561044229 has 2 divisors, whose sum is σ = 106561044230. Its totient is φ = 106561044228.

The previous prime is 106561044221. The next prime is 106561044241. The reversal of 106561044229 is 922440165601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105164004100 + 1397040129 = 324290^2 + 37377^2 .

It is a cyclic number.

It is not a de Polignac number, because 106561044229 - 23 = 106561044221 is a prime.

It is a super-2 number, since 2×1065610442292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106561044191 and 106561044200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106561044221) 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, 53280522114 + 53280522115.

It is an arithmetic number, because the mean of its divisors is an integer number (53280522115).

Almost surely, 2106561044229 is an apocalyptic number.

It is an amenable number.

106561044229 is a deficient number, since it is larger than the sum of its proper divisors (1).

106561044229 is an equidigital number, since it uses as much as digits as its factorization.

106561044229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 106561044229 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, two hundred twenty-nine".