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106160500098 = 2351973157489
BaseRepresentation
bin110001011011110101…
…0001010110110000010
3101011000111201011200000
41202313222022312002
53214404042000343
6120434111540430
710445520235122
oct1426752126602
9334014634600
10106160500098
114102791aaa4
12186a8b2a716
13a01ac12783
1451d12ccc82
152b64ec7ed3
hex18b7a8ad82

106160500098 has 96 divisors (see below), whose sum is σ = 254529038400. Its totient is φ = 33064920576.

The previous prime is 106160500093. The next prime is 106160500099. The reversal of 106160500098 is 890005061601.

106160500098 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 60 + 500 + 0 + 98 = 666.

It is a super-2 number, since 2×1061605000982 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106160500093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595338 + ... + 752826.

It is an arithmetic number, because the mean of its divisors is an integer number (2651344150).

Almost surely, 2106160500098 is an apocalyptic number.

106160500098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106160500098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127264519200).

106160500098 is an abundant number, since it is smaller than the sum of its proper divisors (148368538302).

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

106160500098 is a wasteful number, since it uses less digits than its factorization.

106160500098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157598 (or 157586 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 106160500098 its reverse (890005061601), we get a palindrome (996165561699).

The spelling of 106160500098 in words is "one hundred six billion, one hundred sixty million, five hundred thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 73 81 114 146 162 171 219 243 342 438 486 513 657 1026 1314 1387 1539 1971 2774 3078 3942 4161 4617 5913 8322 9234 11826 12483 17739 24966 35478 37449 74898 112347 157489 224694 314978 337041 472467 674082 944934 1417401 2834802 2992291 4252203 5984582 8504406 8976873 11496697 12756609 17953746 22993394 25513218 26930619 34490091 38269827 53861238 68980182 76539654 80791857 103470273 161583714 206940546 218437243 242375571 310410819 436874486 484751142 620821638 655311729 727126713 931232457 1310623458 1454253426 1862464914 1965935187 2793697371 3931870374 5587394742 5897805561 11795611122 17693416683 35386833366 53080250049 106160500098