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106775644122 = 233711
BaseRepresentation
bin110001101110001010…
…0110000011111011010
3101012121101012201122000
41203130110300133122
53222134031102442
6121015124341430
710500000000000
oct1433424603732
9335541181560
10106775644122
1141313081894
121883ab44876
13a0b84b1414
14524cc98a70
152b9ded7d4c
hex18dc5307da

106775644122 has 96 divisors (see below), whose sum is σ = 276825744000. Its totient is φ = 30507326892.

The previous prime is 106775644109. The next prime is 106775644139. The reversal of 106775644122 is 221446577601.

106775644122 is a `hidden beast` number, since 1 + 0 + 6 + 77 + 564 + 4 + 12 + 2 = 666.

It is a super-2 number, since 2×1067756441222 (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15253663443 + ... + 15253663449.

It is an arithmetic number, because the mean of its divisors is an integer number (2883601500).

Almost surely, 2106775644122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106775644122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138412872000).

106775644122 is an abundant number, since it is smaller than the sum of its proper divisors (170050099878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106775644122 is an frugal number, since it uses more digits than its factorization.

106775644122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 106775644122 in words is "one hundred six billion, seven hundred seventy-five million, six hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2401 2646 3087 4802 6174 7203 9261 14406 16807 18522 21609 33614 43218 50421 64827 100842 117649 129654 151263 235298 302526 352947 453789 705894 823543 907578 1058841 1647086 2117682 2470629 3176523 4941258 5764801 6353046 7411887 11529602 14823774 17294403 22235661 34588806 40353607 44471322 51883209 80707214 103766418 121060821 155649627 242121642 282475249 311299254 363182463 564950498 726364926 847425747 1089547389 1694851494 1977326743 2179094778 2542277241 3954653486 5084554482 5931980229 7626831723 11863960458 15253663446 17795940687 35591881374 53387822061 106775644122