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108792668106 = 2332973979811
BaseRepresentation
bin110010101010010001…
…1000101111111001010
3101101210221121011101000
41211110203011333022
53240301410334411
6121551220235430
710600661264253
oct1452443057712
9341727534330
10108792668106
1142158696861
121910253bb76
13a34a339435
1453a0b05b2a
152c6b10e956
hex19548c5fca

108792668106 has 128 divisors (see below), whose sum is σ = 256163846400. Its totient is φ = 34174586880.

The previous prime is 108792668063. The next prime is 108792668129. The reversal of 108792668106 is 601866297801.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 11083941 + ... + 11093751.

It is an arithmetic number, because the mean of its divisors is an integer number (2001280050).

Almost surely, 2108792668106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108792668106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128081923200).

108792668106 is an abundant number, since it is smaller than the sum of its proper divisors (147371178294).

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

108792668106 is a wasteful number, since it uses less digits than its factorization.

108792668106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 108792668106 in words is "one hundred eight billion, seven hundred ninety-two million, six hundred sixty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 73 87 97 146 174 194 219 261 291 438 522 582 657 783 873 1314 1566 1746 1971 2117 2619 2813 3942 4234 5238 5626 6351 7081 8439 9811 12702 14162 16878 19053 19622 21243 25317 29433 38106 42486 50634 57159 58866 63729 75951 88299 114318 127458 151902 176598 191187 205349 264897 284519 382374 410698 529794 569038 616047 716203 853557 951667 1232094 1432406 1707114 1848141 1903334 2148609 2560671 2855001 3696282 4297218 5121342 5544423 5710002 6445827 7682013 8565003 11088846 12891654 15364026 17130006 19337481 20769887 25695009 27598343 38674962 41539774 51390018 55196686 62309661 69471691 82795029 124619322 138943382 165590058 186928983 208415073 248385087 373857966 416830146 496770174 560786949 625245219 745155261 1121573898 1250490438 1490310522 1875735657 2014679039 3751471314 4029358078 6044037117 12088074234 18132111351 36264222702 54396334053 108792668106