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106006101529 is a prime number
BaseRepresentation
bin110001010111001110…
…1001011111000011001
3101010121202011220122111
41202232131023320121
53214100030222104
6120410514352321
710441633665406
oct1425635137031
9333552156574
10106006101529
1140a58754079
121866528b6a1
139cc4c33783
1451b89bb2ad
152b5667a404
hex18ae74be19

106006101529 has 2 divisors, whose sum is σ = 106006101530. Its totient is φ = 106006101528.

The previous prime is 106006101463. The next prime is 106006101559. The reversal of 106006101529 is 925101600601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64071253129 + 41934848400 = 253123^2 + 204780^2 .

It is an emirp because it is prime and its reverse (925101600601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106006101529 is a prime.

It is a super-2 number, since 2×1060061015292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106006101529.

It is not a weakly prime, because it can be changed into another prime (106006101559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53003050764 + 53003050765.

It is an arithmetic number, because the mean of its divisors is an integer number (53003050765).

Almost surely, 2106006101529 is an apocalyptic number.

It is an amenable number.

106006101529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106006101529 is an equidigital number, since it uses as much as digits as its factorization.

106006101529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 106006101529 in words is "one hundred six billion, six million, one hundred one thousand, five hundred twenty-nine".