Search a number
-
+
105027225 = 35231199227
BaseRepresentation
bin1100100001010…
…01011010011001
321022121221021020
412100221122121
5203341332400
614231033053
72413500552
oct620513231
9238557236
10105027225
1154315566
122b20b789
13189b3ab4
14dd3d329
1593492a0
hex6429699

105027225 has 48 divisors (see below), whose sum is σ = 180940800. Its totient is φ = 53697600.

The previous prime is 105027211. The next prime is 105027229. The reversal of 105027225 is 522720501.

It is not a de Polignac number, because 105027225 - 217 = 104896153 is a prime.

It is a super-2 number, since 2×1050272252 = 22061435982401250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105027195 and 105027204.

It is not an unprimeable number, because it can be changed into a prime (105027229) 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, 462562 + ... + 462788.

It is an arithmetic number, because the mean of its divisors is an integer number (3769600).

Almost surely, 2105027225 is an apocalyptic number.

105027225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105027225 is a deficient number, since it is larger than the sum of its proper divisors (75913575).

105027225 is a wasteful number, since it uses less digits than its factorization.

105027225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105027225 is about 10248.2791238334. The cubic root of 105027225 is about 471.8101688632.

Adding to 105027225 its reverse (522720501), we get a palindrome (627747726).

The spelling of 105027225 in words is "one hundred five million, twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 155 199 227 465 597 681 775 995 1135 2325 2985 3405 4975 5675 6169 7037 14925 17025 18507 21111 30845 35185 45173 92535 105555 135519 154225 175925 225865 462675 527775 677595 1129325 1400363 3387975 4201089 7001815 21005445 35009075 105027225