Search a number
-
+
105463053 = 34171929139
BaseRepresentation
bin1100100100100…
…11110100001101
321100110002010000
412102103310031
5203444304203
614244234513
72420264313
oct622236415
9240402100
10105463053
1154592a53
122b39ba39
1318b07297
14100140b3
1593d34a3
hex6493d0d

105463053 has 80 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 60092928.

The previous prime is 105463051. The next prime is 105463067. The reversal of 105463053 is 350364501.

It is not a de Polignac number, because 105463053 - 21 = 105463051 is a prime.

It is a super-2 number, since 2×1054630532 = 22244911096161618, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105463051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 758658 + ... + 758796.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2105463053 is an apocalyptic number.

It is an amenable number.

105463053 is a deficient number, since it is larger than the sum of its proper divisors (77488947).

105463053 is a wasteful number, since it uses less digits than its factorization.

105463053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105463053 is about 10269.5205827731. The cubic root of 105463053 is about 472.4618865705.

The spelling of 105463053 in words is "one hundred five million, four hundred sixty-three thousand, fifty-three".

Divisors: 1 3 9 17 19 27 29 51 57 81 87 139 153 171 261 323 417 459 493 513 551 783 969 1251 1377 1479 1539 1653 2349 2363 2641 2907 3753 4031 4437 4959 7089 7923 8721 9367 11259 12093 13311 14877 21267 23769 26163 28101 36279 39933 44631 44897 63801 68527 71307 76589 84303 108837 134691 191403 205581 213921 229767 252909 326511 404073 616743 689301 758727 1212219 1302013 1850229 2067903 3636657 3906039 5550687 6203709 11718117 35154351 105463053