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105294671725 = 5241102726509
BaseRepresentation
bin110001000010000001…
…1010010111101101101
3101001210011111112102111
41202010003102331231
53211120413443400
6120212142124021
710415204641135
oct1420403227555
9331704445374
10105294671725
1140723108361
12184a6b80611
139c10721aa9
14514c309ac5
152b13e9b3ba
hex18840d2f6d

105294671725 has 12 divisors (see below), whose sum is σ = 133749916020. Its totient is φ = 82181206400.

The previous prime is 105294671693. The next prime is 105294671747. The reversal of 105294671725 is 527176492501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46264138281 + 59030533444 = 215091^2 + 242962^2 .

It is not a de Polignac number, because 105294671725 - 25 = 105294671693 is a prime.

It is a super-2 number, since 2×1052946717252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51362230 + ... + 51364279.

It is an arithmetic number, because the mean of its divisors is an integer number (11145826335).

Almost surely, 2105294671725 is an apocalyptic number.

It is an amenable number.

105294671725 is a deficient number, since it is larger than the sum of its proper divisors (28455244295).

105294671725 is a wasteful number, since it uses less digits than its factorization.

105294671725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102726560 (or 102726555 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 105294671725 in words is "one hundred five billion, two hundred ninety-four million, six hundred seventy-one thousand, seven hundred twenty-five".

Divisors: 1 5 25 41 205 1025 102726509 513632545 2568162725 4211786869 21058934345 105294671725