Search a number
-
+
110612106 = 2321123107227
BaseRepresentation
bin1101001011111…
…00111010001010
321201010200021200
412211330322022
5211304041411
614550445030
72512121163
oct645747212
9251120250
10110612106
115748a570
1231063776
1319bbab67
141099476a
159a9de56
hex697ce8a

110612106 has 96 divisors (see below), whose sum is σ = 276576768. Its totient is φ = 31621920.

The previous prime is 110612101. The next prime is 110612141. The reversal of 110612106 is 601216011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110612101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487165 + ... + 487391.

It is an arithmetic number, because the mean of its divisors is an integer number (2881008).

Almost surely, 2110612106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110612106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138288384).

110612106 is an abundant number, since it is smaller than the sum of its proper divisors (165964662).

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

110612106 is a wasteful number, since it uses less digits than its factorization.

110612106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 110612106 is about 10517.2290076807. The cubic root of 110612106 is about 480.0290867790.

Adding to 110612106 its reverse (601216011), we get a palindrome (711828117).

It can be divided in two parts, 110 and 612106, that added together give a palindrome (612216).

The spelling of 110612106 in words is "one hundred ten million, six hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 107 138 198 207 214 227 253 321 414 454 506 642 681 759 963 1177 1362 1518 1926 2043 2277 2354 2461 2497 3531 4086 4554 4922 4994 5221 7062 7383 7491 10442 10593 14766 14982 15663 21186 22149 22473 24289 27071 31326 44298 44946 46989 48578 54142 57431 72867 81213 93978 114862 145734 162426 172293 218601 243639 267179 344586 437202 487278 516879 534358 558647 801537 1033758 1117294 1603074 1675941 2404611 3351882 4809222 5027823 6145117 10055646 12290234 18435351 36870702 55306053 110612106