Search a number
-
+
105412154166 = 23311199340081
BaseRepresentation
bin110001000101100001…
…1011101001100110110
3101002002100120021001000
41202023003131030312
53211341002413131
6120231540144130
710421132345424
oct1421303351466
9332070507030
10105412154166
114078345a690
121851a398046
139c2bb76b27
14515db6c114
152b1e455ce6
hex188b0dd336

105412154166 has 64 divisors (see below), whose sum is σ = 268994361600. Its totient is φ = 30261859200.

The previous prime is 105412154153. The next prime is 105412154231. The reversal of 105412154166 is 661451214501.

105412154166 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 2 + 1 + 541 + 66 = 666.

It is a super-2 number, since 2×1054121541662 (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 105412154166.

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, 4658755 + ... + 4681326.

It is an arithmetic number, because the mean of its divisors is an integer number (4203036900).

Almost surely, 2105412154166 is an apocalyptic number.

105412154166 is an abundant number, since it is smaller than the sum of its proper divisors (163582207434).

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

105412154166 is a wasteful number, since it uses less digits than its factorization.

105412154166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340122 (or 9340116 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 105412154166 its reverse (661451214501), we get a palindrome (766863368667).

The spelling of 105412154166 in words is "one hundred five billion, four hundred twelve million, one hundred fifty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 9340081 18680162 28020243 56040486 84060729 102740891 168121458 177461539 205481782 252182187 308222673 354923078 504364374 532384617 616445346 924668019 1064769234 1597153851 1849336038 1952076929 2774004057 3194307702 3904153858 4791461553 5548008114 5856230787 9582923106 11712461574 17568692361 35137384722 52706077083 105412154166