Search a number
-
+
105030112 = 25112910289
BaseRepresentation
bin1100100001010…
…10000111100000
321022122002020011
412100222013200
5203341430422
614231054304
72413512145
oct620520740
9238562204
10105030112
1154317750
122b211394
13189b51c5
14dd403cc
15934a077
hex642a1e0

105030112 has 48 divisors (see below), whose sum is σ = 233377200. Its totient is φ = 46090240.

The previous prime is 105030067. The next prime is 105030113. The reversal of 105030112 is 211030501.

It is a super-2 number, since 2×1050301122 = 22062648853465088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105030092 and 105030101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105030113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5064 + ... + 15352.

It is an arithmetic number, because the mean of its divisors is an integer number (4862025).

Almost surely, 2105030112 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 105030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116688600).

105030112 is an abundant number, since it is smaller than the sum of its proper divisors (128347088).

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

105030112 is a wasteful number, since it uses less digits than its factorization.

105030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 105030112 is about 10248.4199757816. The cubic root of 105030112 is about 471.8144918803.

Adding to 105030112 its reverse (211030501), we get a palindrome (316060613).

The spelling of 105030112 in words is "one hundred five million, thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 5104 10208 10289 20578 41156 82312 113179 164624 226358 298381 329248 452716 596762 905432 1193524 1810864 2387048 3282191 3621728 4774096 6564382 9548192 13128764 26257528 52515056 105030112