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106421341060 = 22525873205661
BaseRepresentation
bin110001100011100110…
…1001100101110000100
3101011200200112021012101
41203013031030232010
53220422330403220
6120520030401444
710455135321316
oct1430715145604
9334620467171
10106421341060
1141151088741
1218760360284
13a05cc7c738
145217bcb7b6
152b7cd4e30a
hex18c734cb84

106421341060 has 24 divisors (see below), whose sum is σ = 223494540696. Its totient is φ = 42566684160.

The previous prime is 106421341007. The next prime is 106421341063. The reversal of 106421341060 is 60143124601.

It can be written as a sum of positive squares in 4 ways, for example, as 244421956 + 106176919104 = 15634^2 + 325848^2 .

It is a super-2 number, since 2×1064213410602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106421341063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414630 + ... + 620290.

It is an arithmetic number, because the mean of its divisors is an integer number (9312272529).

Almost surely, 2106421341060 is an apocalyptic number.

106421341060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106421341060 is an abundant number, since it is smaller than the sum of its proper divisors (117073199636).

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

106421341060 is a wasteful number, since it uses less digits than its factorization.

106421341060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231543 (or 231541 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 106421341060 its reverse (60143124601), we get a palindrome (166564465661).

The spelling of 106421341060 in words is "one hundred six billion, four hundred twenty-one million, three hundred forty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 25873 51746 103492 129365 205661 258730 411322 517460 822644 1028305 2056610 4113220 5321067053 10642134106 21284268212 26605335265 53210670530 106421341060