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105184703845 = 51389104917333
BaseRepresentation
bin110000111110101111…
…1110011010101100101
3101001111111120120212001
41201331133303111211
53210404241010340
6120153213125301
710412401142104
oct1417537632545
9331444516761
10105184703845
1140677028911
1218476189831
139bc39cb240
14513b88203b
152b094c829a
hex187d7f3565

105184703845 has 32 divisors (see below), whose sum is σ = 137597292000. Its totient is φ = 76724465664.

The previous prime is 105184703843. The next prime is 105184703861. The reversal of 105184703845 is 548307481501.

It can be written as a sum of positive squares in 16 ways, for example, as 61118717284 + 44065986561 = 247222^2 + 209919^2 .

It is a cyclic number.

It is not a de Polignac number, because 105184703845 - 21 = 105184703843 is a prime.

It is a super-2 number, since 2×1051847038452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105184703795 and 105184703804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105184703843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6059799 + ... + 6077131.

It is an arithmetic number, because the mean of its divisors is an integer number (4299915375).

Almost surely, 2105184703845 is an apocalyptic number.

It is an amenable number.

105184703845 is a deficient number, since it is larger than the sum of its proper divisors (32412588155).

105184703845 is a wasteful number, since it uses less digits than its factorization.

105184703845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18489.

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 105184703845 in words is "one hundred five billion, one hundred eighty-four million, seven hundred three thousand, eight hundred forty-five".

Divisors: 1 5 13 65 89 445 1049 1157 5245 5785 13637 17333 68185 86665 93361 225329 466805 1126645 1213693 1542637 6068465 7713185 18182317 20054281 90911585 100271405 236370121 1181850605 1618226213 8091131065 21036940769 105184703845