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105482844300 = 22352418575841
BaseRepresentation
bin110001000111101000…
…1000111100010001100
3101002021021120200200010
41202033101013202030
53212012102004200
6120242543233220
710422651245211
oct1421721074214
9332237520603
10105482844300
114080a352189
1218539ba8810
139c406c7802
1451692cdb08
152b2576b150
hex188f44788c

105482844300 has 72 divisors (see below), whose sum is σ = 312640895952. Its totient is φ = 27442688000.

The previous prime is 105482844289. The next prime is 105482844301. The reversal of 105482844300 is 3448284501.

It is a super-2 number, since 2×1054828443002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105482844301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4275621 + ... + 4300220.

It is an arithmetic number, because the mean of its divisors is an integer number (4342234666).

Almost surely, 2105482844300 is an apocalyptic number.

105482844300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105482844300 is an abundant number, since it is smaller than the sum of its proper divisors (207158051652).

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

105482844300 is a wasteful number, since it uses less digits than its factorization.

105482844300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575899 (or 8575892 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 105482844300 in words is "one hundred five billion, four hundred eighty-two million, eight hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 8575841 17151682 25727523 34303364 42879205 51455046 85758410 102910092 128637615 171516820 214396025 257275230 351609481 428792050 514550460 643188075 703218962 857584100 1054828443 1286376150 1406437924 1758047405 2109656886 2572752300 3516094810 4219313772 5274142215 7032189620 8790237025 10548284430 17580474050 21096568860 26370711075 35160948100 52741422150 105482844300