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105055342 = 27172931491
BaseRepresentation
bin1100100001100…
…00010001101110
321022200100211121
412100300101232
5203343232332
614231411154
72413645540
oct620602156
9238610747
10105055342
11543346a7
122b223aba
13189c3832
14dd49690
159352797
hex643046e

105055342 has 64 divisors (see below), whose sum is σ = 204042240. Its totient is φ = 39513600.

The previous prime is 105055337. The next prime is 105055361. The reversal of 105055342 is 243550501.

It is a super-2 number, since 2×1050553422 = 22073249765473928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213717 + ... + 214207.

It is an arithmetic number, because the mean of its divisors is an integer number (3188160).

Almost surely, 2105055342 is an apocalyptic number.

105055342 is a deficient number, since it is larger than the sum of its proper divisors (98986898).

105055342 is a wasteful number, since it uses less digits than its factorization.

105055342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 105055342 is about 10249.6508233208. The cubic root of 105055342 is about 471.8522681154.

The spelling of 105055342 in words is "one hundred five million, fifty-five thousand, three hundred forty-two".

Divisors: 1 2 7 14 17 29 31 34 58 62 119 203 217 238 406 434 491 493 527 899 982 986 1054 1798 3437 3451 3689 6293 6874 6902 7378 8347 12586 14239 15221 15283 16694 28478 30442 30566 58429 99673 106547 106981 116858 199346 213094 213962 242063 258757 441409 484126 517514 882818 1694441 1811299 3089863 3388882 3622598 6179726 7503953 15007906 52527671 105055342