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106701189084 = 22337431327469
BaseRepresentation
bin110001101011111100…
…0101110111111011100
3101012102012010000112000
41203113320232333130
53222011001022314
6121003504442300
710465104066630
oct1432770567734
9335365100460
10106701189084
11412850486a6
121881a019390
13a0a5c42b99
145243036dc0
152b976cc209
hex18d7e2efdc

106701189084 has 96 divisors (see below), whose sum is σ = 316886169600. Its totient is φ = 30415227840.

The previous prime is 106701188987. The next prime is 106701189097. The reversal of 106701189084 is 480981107601.

It is a happy number.

It is a super-2 number, since 2×1067011890842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162102 + ... + 489570.

It is an arithmetic number, because the mean of its divisors is an integer number (3300897600).

Almost surely, 2106701189084 is an apocalyptic number.

106701189084 is a gapful number since it is divisible by the number (14) 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 106701189084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158443084800).

106701189084 is an abundant number, since it is smaller than the sum of its proper divisors (210184980516).

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

106701189084 is a wasteful number, since it uses less digits than its factorization.

106701189084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327920 (or 327912 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 106701189084 in words is "one hundred six billion, seven hundred one million, one hundred eighty-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 756 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 11637 12068 15516 18102 23274 27153 36204 46548 54306 81459 108612 162918 325836 327469 654938 982407 1309876 1964814 2292283 2947221 3929628 4584566 5894442 6876849 8841663 9169132 11788884 13753698 17683326 20630547 27507396 35366652 41261094 61891641 82522188 123783282 141139139 247566564 282278278 423417417 564556556 846834834 987973973 1270252251 1693669668 1975947946 2540504502 2963921919 3810756753 3951895892 5081009004 5927843838 7621513506 8891765757 11855687676 15243027012 17783531514 26675297271 35567063028 53350594542 106701189084