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105134122225 = 52115944314627
BaseRepresentation
bin110000111101001111…
…0110110010011110001
3101001100222101202220201
41201322132312103301
53210303313402400
6120144205035201
710411215202606
oct1417236662361
9331328352821
10105134122225
1140650520120
1218461255b01
139bb639b1a2
145134c766ad
152b04d3606a
hex187a7b64f1

105134122225 has 48 divisors (see below), whose sum is σ = 144964650240. Its totient is φ = 74990427200.

The previous prime is 105134122217. The next prime is 105134122229. The reversal of 105134122225 is 522221431501.

It is a happy number.

It is not a de Polignac number, because 105134122225 - 23 = 105134122217 is a prime.

It is a super-2 number, since 2×1051341222252 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105134122193 and 105134122202.

It is not an unprimeable number, because it can be changed into a prime (105134122229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7180362 + ... + 7194988.

It is an arithmetic number, because the mean of its divisors is an integer number (3020096880).

Almost surely, 2105134122225 is an apocalyptic number.

It is an amenable number.

105134122225 is a deficient number, since it is larger than the sum of its proper divisors (39830528015).

105134122225 is a wasteful number, since it uses less digits than its factorization.

105134122225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15150 (or 15145 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 105134122225 its reverse (522221431501), we get a palindrome (627355553726).

The spelling of 105134122225 in words is "one hundred five billion, one hundred thirty-four million, one hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 59 275 295 443 649 1475 2215 3245 4873 11075 14627 16225 24365 26137 73135 121825 130685 160897 287507 365675 653425 804485 862993 1437535 4022425 4314965 6479761 7187675 9492923 21574825 32398805 47464615 71277371 161994025 237323075 356386855 382305899 1781934275 1911529495 4205364889 9557647475 21026824445 105134122225