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105560105049 = 32731157344269
BaseRepresentation
bin110001001001111011…
…1110110000001011001
3101002110122221221111100
41202103313312001121
53212141341330144
6120254343222013
710424610042210
oct1422367660131
9332418857440
10105560105049
1140849a22343
121855ba47909
139c53709129
145175682077
152b2c42d269
hex1893df6059

105560105049 has 48 divisors (see below), whose sum is σ = 181025428480. Its totient is φ = 58002272640.

The previous prime is 105560105047. The next prime is 105560105059. The reversal of 105560105049 is 940501065501.

105560105049 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 601 + 0 + 5 + 0 + 49 = 666.

It is not a de Polignac number, because 105560105049 - 21 = 105560105047 is a prime.

It is a super-2 number, since 2×1055601050492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105560105041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134487 + ... + 478755.

Almost surely, 2105560105049 is an apocalyptic number.

It is an amenable number.

105560105049 is a deficient number, since it is larger than the sum of its proper divisors (75465323431).

105560105049 is a wasteful number, since it uses less digits than its factorization.

105560105049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344470 (or 344467 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105560105049 in words is "one hundred five billion, five hundred sixty million, one hundred five thousand, forty-nine".

Divisors: 1 3 7 9 21 31 63 93 157 217 279 471 651 1099 1413 1953 3297 4867 9891 14601 34069 43803 102207 306621 344269 1032807 2409883 3098421 7229649 10672339 21688947 32017017 54050233 74706373 96051051 162150699 224119119 378351631 486452097 672357357 1135054893 1675557223 3405164679 5026671669 11728900561 15080015007 35186701683 105560105049