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106011660060 = 223351163168803
BaseRepresentation
bin110001010111011001…
…0011000111100011100
3101010122010122022112000
41202232302120330130
53214102441110220
6120411233442300
710442032146135
oct1425662307434
9333563568460
10106011660060
1140a609002a9
1218667110390
139cc612b847
1451b9626c8c
152b56dc7390
hex18aec98f1c

106011660060 has 96 divisors (see below), whose sum is σ = 330099598080. Its totient is φ = 28245301056.

The previous prime is 106011660059. The next prime is 106011660071. The reversal of 106011660060 is 60066110601.

It is a super-2 number, since 2×1060116600602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 543619 + ... + 712421.

It is an arithmetic number, because the mean of its divisors is an integer number (3438537480).

Almost surely, 2106011660060 is an apocalyptic number.

106011660060 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 106011660060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165049799040).

106011660060 is an abundant number, since it is smaller than the sum of its proper divisors (224087938020).

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

106011660060 is a wasteful number, since it uses less digits than its factorization.

106011660060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169984 (or 169976 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 106011660060 its reverse (60066110601), we get a palindrome (166077770661).

The spelling of 106011660060 in words is "one hundred six billion, eleven million, six hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1163 2326 3489 4652 5815 6978 10467 11630 13956 17445 20934 23260 31401 34890 41868 52335 62802 69780 104670 125604 157005 168803 209340 314010 337606 506409 628020 675212 844015 1012818 1519227 1688030 2025636 2532045 3038454 3376060 4557681 5064090 6076908 7596135 9115362 10128180 15192270 18230724 22788405 30384540 45576810 91153620 196317889 392635778 588953667 785271556 981589445 1177907334 1766861001 1963178890 2355814668 2944768335 3533722002 3926357780 5300583003 5889536670 7067444004 8834305005 10601166006 11779073340 17668610010 21202332012 26502915015 35337220020 53005830030 106011660060