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106056110060 = 22523247213281
BaseRepresentation
bin110001011000101101…
…1111100111111101100
3101010202020021121110022
41202301123330333230
53214200331010220
6120415502301312
710443112030025
oct1426133747754
9333666247408
10106056110060
1140a83a0023a
1218679b87838
13a0023c2a14
1451c14b7c4c
152b5ac57925
hex18b16fcfec

106056110060 has 72 divisors (see below), whose sum is σ = 237777011136. Its totient is φ = 39714442240.

The previous prime is 106056110057. The next prime is 106056110081. The reversal of 106056110060 is 60011650601.

It is a super-2 number, since 2×1060561100602 (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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390620 + ... + 603900.

It is an arithmetic number, because the mean of its divisors is an integer number (3302458488).

Almost surely, 2106056110060 is an apocalyptic number.

106056110060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106056110060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118888505568).

106056110060 is an abundant number, since it is smaller than the sum of its proper divisors (131720901076).

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

106056110060 is a wasteful number, since it uses less digits than its factorization.

106056110060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213383 (or 213358 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 106056110060 its reverse (60011650601), we get a palindrome (166067760661).

The spelling of 106056110060 in words is "one hundred six billion, fifty-six million, one hundred ten thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 529 940 1058 1081 2116 2162 2645 4324 5290 5405 10580 10810 21620 24863 49726 99452 124315 213281 248630 426562 497260 853124 1066405 2132810 4265620 4905463 9810926 10024207 19621852 20048414 24527315 40096828 49054630 50121035 98109260 100242070 112825649 200484140 225651298 230556761 451302596 461113522 564128245 922227044 1128256490 1152783805 2256512980 2305567610 4611135220 5302805503 10605611006 21211222012 26514027515 53028055030 106056110060