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105346442105 = 5176591193119
BaseRepresentation
bin110001000011100100…
…0110010001101111001
3101001220202220202000222
41202013020302031321
53211222142121410
6120221231505425
710416403661162
oct1420710621571
9331822822028
10105346442105
114074a3581a3
1218500388275
139c1b379c58
145155144769
152b187c5955
hex1887232379

105346442105 has 8 divisors (see below), whose sum is σ = 126422995200. Its totient is φ = 84272310576.

The previous prime is 105346442099. The next prime is 105346442171. The reversal of 105346442105 is 501244643501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105346442105 - 26 = 105346442041 is a prime.

It is a super-2 number, since 2×1053464421052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 508265 + ... + 684854.

It is an arithmetic number, because the mean of its divisors is an integer number (15802874400).

Almost surely, 2105346442105 is an apocalyptic number.

It is an amenable number.

105346442105 is a deficient number, since it is larger than the sum of its proper divisors (21076553095).

105346442105 is a wasteful number, since it uses less digits than its factorization.

105346442105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210783.

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 105346442105 in words is "one hundred five billion, three hundred forty-six million, four hundred forty-two thousand, one hundred five".

Divisors: 1 5 17659 88295 1193119 5965595 21069288421 105346442105