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105305154529 is a prime number
BaseRepresentation
bin110001000010010101…
…1010010001111100001
3101001210220020010010111
41202010223102033201
53211131104421104
6120213154531321
710415363021221
oct1420453221741
9331726203114
10105305154529
1140729018233
12184aa596b41
139c12952333
14514d878081
152b14d6c404
hex1884ad23e1

105305154529 has 2 divisors, whose sum is σ = 105305154530. Its totient is φ = 105305154528.

The previous prime is 105305154511. The next prime is 105305154557. The reversal of 105305154529 is 925451503501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59231390625 + 46073763904 = 243375^2 + 214648^2 .

It is a cyclic number.

It is not a de Polignac number, because 105305154529 - 27 = 105305154401 is a prime.

It is a super-2 number, since 2×1053051545292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105305154491 and 105305154500.

It is not a weakly prime, because it can be changed into another prime (105305154629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52652577264 + 52652577265.

It is an arithmetic number, because the mean of its divisors is an integer number (52652577265).

Almost surely, 2105305154529 is an apocalyptic number.

It is an amenable number.

105305154529 is a deficient number, since it is larger than the sum of its proper divisors (1).

105305154529 is an equidigital number, since it uses as much as digits as its factorization.

105305154529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135000, while the sum is 40.

The spelling of 105305154529 in words is "one hundred five billion, three hundred five million, one hundred fifty-four thousand, five hundred twenty-nine".