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106881894636 = 223116597091733
BaseRepresentation
bin110001110001010101…
…0000100100011101100
3101012212210010210221020
41203202222010203230
53222343231112021
6121033441534140
710502430054156
oct1434252044354
9335783123836
10106881894636
1141368052430
121886a644350
13a104502c4a
14525d035ad6
152ba84c47c6
hex18e2a848ec

106881894636 has 96 divisors (see below), whose sum is σ = 273017606400. Its totient is φ = 32275057920.

The previous prime is 106881894601. The next prime is 106881894661. The reversal of 106881894636 is 636498188601.

106881894636 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1068818946362 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106881894636.

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, 61673626 + ... + 61675358.

It is an arithmetic number, because the mean of its divisors is an integer number (2843933400).

Almost surely, 2106881894636 is an apocalyptic number.

It is an amenable number.

106881894636 is an abundant number, since it is smaller than the sum of its proper divisors (166135711764).

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

106881894636 is a wasteful number, since it uses less digits than its factorization.

106881894636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 106881894636 in words is "one hundred six billion, eight hundred eighty-one million, eight hundred ninety-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 659 709 1318 1418 1733 1977 2127 2636 2836 3466 3954 4254 5199 6932 7249 7799 7908 8508 10398 14498 15598 19063 20796 21747 23397 28996 31196 38126 43494 46794 57189 76252 86988 93588 114378 228756 467231 934462 1142047 1228697 1401693 1868924 2284094 2457394 2803386 3426141 3686091 4568188 4914788 5139541 5606772 6852282 7372182 10279082 12562517 13515667 13704564 14744364 15418623 20558164 25125034 27031334 30837246 37687551 40547001 50250068 54062668 61674492 75375102 81094002 150750204 162188004 809711323 1619422646 2429133969 3238845292 4858267938 8906824553 9716535876 17813649106 26720473659 35627298212 53440947318 106881894636