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105426041 = 7196711831
BaseRepresentation
bin1100100100010…
…10110001111001
321100101012100012
412102022301321
5203442113131
614243351305
72420051360
oct622126171
9240335305
10105426041
1154568166
122b382535
1318ac3496
14100047d7
1593c752b
hex648ac79

105426041 has 16 divisors (see below), whose sum is σ = 128732160. Its totient is φ = 84324240.

The previous prime is 105426037. The next prime is 105426059. The reversal of 105426041 is 140624501.

It is not a de Polignac number, because 105426041 - 22 = 105426037 is a prime.

It is a super-2 number, since 2×1054260412 = 22229300241867362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105425998 and 105426016.

It is not an unprimeable number, because it can be changed into a prime (105426011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2996 + ... + 14826.

It is an arithmetic number, because the mean of its divisors is an integer number (8045760).

Almost surely, 2105426041 is an apocalyptic number.

It is an amenable number.

105426041 is a deficient number, since it is larger than the sum of its proper divisors (23306119).

105426041 is a wasteful number, since it uses less digits than its factorization.

105426041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105426041 is about 10267.7183930998. The cubic root of 105426041 is about 472.4066103232.

The spelling of 105426041 in words is "one hundred five million, four hundred twenty-six thousand, forty-one".

Divisors: 1 7 19 67 133 469 1273 8911 11831 82817 224789 792677 1573523 5548739 15060863 105426041