Search a number
-
+
105546461324 = 221743793831193
BaseRepresentation
bin110001001001100001…
…1110011000010001100
3101002102201021202211012
41202103003303002030
53212124343230244
6120253134544352
710424353055453
oct1422303630214
9332381252735
10105546461324
1140842253637
12185573680b8
139c5093cc15
14517392db9a
152b2b13589e
hex18930f308c

105546461324 has 96 divisors (see below), whose sum is σ = 203352145920. Its totient is φ = 47734622208.

The previous prime is 105546461323. The next prime is 105546461359. The reversal of 105546461324 is 423164645501.

105546461324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1055464613242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105546461323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88470872 + ... + 88472064.

It is an arithmetic number, because the mean of its divisors is an integer number (2118251520).

Almost surely, 2105546461324 is an apocalyptic number.

It is an amenable number.

105546461324 is a deficient number, since it is larger than the sum of its proper divisors (97805684596).

105546461324 is a wasteful number, since it uses less digits than its factorization.

105546461324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 105546461324 in words is "one hundred five billion, five hundred forty-six million, four hundred sixty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 17 34 43 68 79 86 158 172 316 383 731 766 1193 1343 1462 1532 2386 2686 2924 3397 4772 5372 6511 6794 13022 13588 16469 20281 26044 30257 32938 40562 51299 57749 60514 65876 81124 94247 102598 115498 121028 188494 205196 230996 279973 376988 456919 514369 559946 872083 913838 1028738 1119892 1301051 1602199 1744166 1827676 2057476 2602102 3204398 3488332 4052621 5204204 6408796 7767623 8105242 15535246 16210484 19647517 22117867 31070492 36096601 39295034 44235734 68894557 72193202 78590068 88471468 137789114 144386404 275578228 334007789 613642217 668015578 1227284434 1336031156 1552153843 2454568868 3104307686 6208615372 26386615331 52773230662 105546461324