Search a number
-
+
105505501060 = 225311399121637
BaseRepresentation
bin110001001000010011…
…1100010111110000100
3101002022212012202220101
41202100213202332010
53212033402013220
6120245113013444
710423344651001
oct1422047427604
9332285182811
10105505501060
1140821117583
12185456b4284
139c452cb28b
14516c30a8a8
152b2774430a
hex18909e2f84

105505501060 has 48 divisors (see below), whose sum is σ = 228874060800. Its totient is φ = 40811310720.

The previous prime is 105505501051. The next prime is 105505501069. The reversal of 105505501060 is 60105505501.

It is an interprime number because it is at equal distance from previous prime (105505501051) and next prime (105505501069).

It is a super-2 number, since 2×1055055010602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505501069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806562 + ... + 928198.

It is an arithmetic number, because the mean of its divisors is an integer number (4768209600).

Almost surely, 2105505501060 is an apocalyptic number.

105505501060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505501060 is an abundant number, since it is smaller than the sum of its proper divisors (123368559740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505501060 is a wasteful number, since it uses less digits than its factorization.

105505501060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123076 (or 123074 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105505501060 in words is "one hundred five billion, five hundred five million, five hundred one thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1399 2798 5596 6995 13990 27980 43369 86738 121637 173476 216845 243274 433690 486548 608185 867380 1216370 2432740 3770747 7541494 15082988 18853735 37707470 75414940 170170163 340340326 680680652 850850815 1701701630 3403403260 5275275053 10550550106 21101100212 26376375265 52752750530 105505501060