Search a number
-
+
105060505060 = 22572107204597
BaseRepresentation
bin110000111011000011…
…0000001010111100100
3101001011211212122011001
41201312012001113210
53210130442130220
6120133015123044
710406332362400
oct1416606012744
9331154778131
10105060505060
1140612a09495
1218440673484
139ba4064134
145129192100
152aed64380a
hex18761815e4

105060505060 has 36 divisors (see below), whose sum is σ = 256647807612. Its totient is φ = 36020744256.

The previous prime is 105060505031. The next prime is 105060505061. The reversal of 105060505060 is 60505060501.

It can be written as a sum of positive squares in 2 ways, for example, as 49794137316 + 55266367744 = 223146^2 + 235088^2 .

It is a super-2 number, since 2×1050605050602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105060505061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53601319 + ... + 53603278.

It is an arithmetic number, because the mean of its divisors is an integer number (7129105767).

Almost surely, 2105060505060 is an apocalyptic number.

105060505060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105060505060 is an abundant number, since it is smaller than the sum of its proper divisors (151587302552).

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

105060505060 is a wasteful number, since it uses less digits than its factorization.

105060505060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107204620 (or 107204611 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

Adding to 105060505060 its reverse (60505060501), we get a palindrome (165565565561).

The spelling of 105060505060 in words is "one hundred five billion, sixty million, five hundred five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 107204597 214409194 428818388 536022985 750432179 1072045970 1500864358 2144091940 3001728716 3752160895 5253025253 7504321790 10506050506 15008643580 21012101012 26265126265 52530252530 105060505060