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106352104012 = 227116719726161
BaseRepresentation
bin110001100001100010…
…1000101001001001100
3101011111212020122211021
41203003011011021030
53220302114312022
6120505114403524
710453334653120
oct1430305051114
9334455218737
10106352104012
1141115a98940
12187411305a4
13a04b81a27b
14520c927580
152b76c247c7
hex18c314524c

106352104012 has 96 divisors (see below), whose sum is σ = 236708752896. Its totient is φ = 40608691200.

The previous prime is 106352104007. The next prime is 106352104013. The reversal of 106352104012 is 210401253601.

It is a happy number.

It is a super-2 number, since 2×1063521040122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106352104013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4052212 + ... + 4078372.

It is an arithmetic number, because the mean of its divisors is an integer number (2465716176).

Almost surely, 2106352104012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106352104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118354376448).

106352104012 is an abundant number, since it is smaller than the sum of its proper divisors (130356648884).

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

106352104012 is a wasteful number, since it uses less digits than its factorization.

106352104012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26447 (or 26445 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 106352104012 its reverse (210401253601), we get a palindrome (316753357613).

The spelling of 106352104012 in words is "one hundred six billion, three hundred fifty-two million, one hundred four thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 134 154 197 268 308 394 469 737 788 938 1379 1474 1876 2167 2758 2948 4334 5159 5516 8668 10318 13199 15169 20636 26161 26398 30338 52322 52796 60676 92393 104644 145189 183127 184786 287771 290378 366254 369572 575542 580756 732508 1016323 1151084 1752787 2014397 2032646 3505574 4028794 4065292 5153717 7011148 8057588 10307434 12269509 19280657 20614868 24539018 36076019 38561314 49078036 56690887 72152038 77122628 113381774 134964599 144304076 226763548 269929198 345299039 396836209 539858396 690598078 793672418 1381196156 1587344836 2417093273 3798289429 4834186546 7596578858 9668373092 15193157716 26588026003 53176052006 106352104012