Search a number
-
+
106010660547 = 3411417094093
BaseRepresentation
bin110001010111010111…
…0100100111011000011
3101010122001202112110000
41202232232210323003
53214102212114142
6120411200211043
710442020514121
oct1425656447303
9333561675400
10106010660547
1140a60288360
1218666909a83
139cc5b6b90c
1451b9446911
152b56c7b14c
hex18aeba4ec3

106010660547 has 80 divisors (see below), whose sum is σ = 177264632160. Its totient is φ = 62578137600.

The previous prime is 106010660527. The next prime is 106010660659. The reversal of 106010660547 is 745066010601.

106010660547 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 0 + 6 + 605 + 47 = 666.

It is not a de Polignac number, because 106010660547 - 220 = 106009611971 is a prime.

It is a super-2 number, since 2×1060106605472 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106010660527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25898433 + ... + 25902525.

It is an arithmetic number, because the mean of its divisors is an integer number (2215807902).

Almost surely, 2106010660547 is an apocalyptic number.

106010660547 is a deficient number, since it is larger than the sum of its proper divisors (71253971613).

106010660547 is a wasteful number, since it uses less digits than its factorization.

106010660547 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 106010660547 in words is "one hundred six billion, ten million, six hundred sixty thousand, five hundred forty-seven".

Divisors: 1 3 9 11 27 33 41 81 99 123 297 369 451 709 891 1107 1353 2127 3321 4059 4093 6381 7799 12177 12279 19143 23397 29069 36531 36837 45023 57429 70191 87207 110511 135069 167813 210573 261621 319759 331533 405207 503439 631719 784863 959277 1215621 1510317 1845943 2354589 2877831 2901937 3646863 4530951 5537829 8633493 8705811 13592853 16613487 25900479 26117433 31921307 49840461 78352299 95763921 118979417 149521383 235056897 287291763 356938251 861875289 1070814753 1308773587 2585625867 3212444259 3926320761 9637332777 11778962283 35336886849 106010660547