Search a number
-
+
106016204508 = 223172322595099
BaseRepresentation
bin110001010111100001…
…1101110011011011100
3101010122110012012022220
41202233003232123130
53214110122021013
6120411515105340
710442115604224
oct1425703563334
9333573165286
10106016204508
1140a63424645
1218668742250
139cc7060176
1451ba08b084
152b574c3b23
hex18af0ee6dc

106016204508 has 48 divisors (see below), whose sum is σ = 273310329600. Its totient is φ = 31813897984.

The previous prime is 106016204507. The next prime is 106016204513. The reversal of 106016204508 is 805402610601.

106016204508 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 2×1060162045082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016204507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11292858 + ... + 11302241.

It is an arithmetic number, because the mean of its divisors is an integer number (5693965200).

Almost surely, 2106016204508 is an apocalyptic number.

It is an amenable number.

106016204508 is an abundant number, since it is smaller than the sum of its proper divisors (167294125092).

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

106016204508 is a wasteful number, since it uses less digits than its factorization.

106016204508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22595146 (or 22595144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 106016204508 in words is "one hundred six billion, sixteen million, two hundred four thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 22595099 45190198 67785297 90380396 135570594 271141188 384116683 519687277 768233366 1039374554 1152350049 1536466732 1559061831 2078749108 2304700098 3118123662 4609400196 6236247324 8834683709 17669367418 26504051127 35338734836 53008102254 106016204508