Search a number
-
+
105603716871 = 354721131741
BaseRepresentation
bin110001001011001111…
…0001101011100000111
3101002120201000122200000
41202112132031130013
53212234022414441
6120302542052343
710425646532322
oct1422636153407
9332521018600
10105603716871
11408715aa574
121857257a0b3
139c5c768943
14517b3957b9
152b311952b6
hex189678d707

105603716871 has 72 divisors (see below), whose sum is σ = 163149574224. Its totient is φ = 68255550720.

The previous prime is 105603716861. The next prime is 105603716879. The reversal of 105603716871 is 178617306501.

105603716871 is a `hidden beast` number, since 1 + 0 + 560 + 3 + 7 + 1 + 6 + 87 + 1 = 666.

It is not a de Polignac number, because 105603716871 - 218 = 105603454727 is a prime.

It is a super-2 number, since 2×1056037168712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105603716879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60656061 + ... + 60657801.

Almost surely, 2105603716871 is an apocalyptic number.

105603716871 is a deficient number, since it is larger than the sum of its proper divisors (57545857353).

105603716871 is an equidigital number, since it uses as much as digits as its factorization.

105603716871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 105603716871 in words is "one hundred five billion, six hundred three million, seven hundred sixteen thousand, eight hundred seventy-one".

Divisors: 1 3 9 27 47 81 113 141 243 339 423 1017 1269 1741 2209 3051 3807 5223 5311 6627 9153 11421 15669 15933 19881 27459 47007 47799 59643 81827 141021 143397 178929 196733 245481 249617 423063 430191 536787 590199 736443 748851 1290573 1770597 2209329 2246553 3845869 5311791 6627987 6739659 9246451 11537607 15935373 19883961 20218977 27739353 34612821 47806119 60656931 83218059 103838463 249654177 311515389 434583197 748962531 934546167 1303749591 2246887593 3911248773 11733746319 35201238957 105603716871