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106005506653 is a prime number
BaseRepresentation
bin110001010111001101…
…0111010101001011101
3101010121201001200122001
41202232122322221131
53214044402203103
6120410453522301
710441625640154
oct1425632725135
9333551050561
10106005506653
1140a58388142
1218665043391
139cc4a85a87
1451b88a459b
152b565ae01d
hex18ae6baa5d

106005506653 has 2 divisors, whose sum is σ = 106005506654. Its totient is φ = 106005506652.

The previous prime is 106005506639. The next prime is 106005506687. The reversal of 106005506653 is 356605500601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73104262884 + 32901243769 = 270378^2 + 181387^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005506653 - 233 = 97415572061 is a prime.

It is a super-2 number, since 2×1060055066532 (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 (106005506623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002753326 + 53002753327.

It is an arithmetic number, because the mean of its divisors is an integer number (53002753327).

Almost surely, 2106005506653 is an apocalyptic number.

It is an amenable number.

106005506653 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005506653 is an equidigital number, since it uses as much as digits as its factorization.

106005506653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 106005506653 in words is "one hundred six billion, five million, five hundred six thousand, six hundred fifty-three".