Search a number
-
+
105610011056 = 24111095505109
BaseRepresentation
bin110001001011011011…
…0001110000110110000
3101002121010212102122222
41202112312032012300
53212242130323211
6120303325020212
710426054165604
oct1422666160660
9332533772588
10105610011056
1140875109480
12185746b4668
139c60b60804
14517c153504
152b319da1db
hex1896d8e1b0

105610011056 has 40 divisors (see below), whose sum is σ = 225269101200. Its totient is φ = 47564133120.

The previous prime is 105610011049. The next prime is 105610011061. The reversal of 105610011056 is 650110016501.

It is a super-2 number, since 2×1056100110562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2733371 + ... + 2771738.

It is an arithmetic number, because the mean of its divisors is an integer number (5631727530).

Almost surely, 2105610011056 is an apocalyptic number.

105610011056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105610011056 is an abundant number, since it is smaller than the sum of its proper divisors (119659090144).

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

105610011056 is a wasteful number, since it uses less digits than its factorization.

105610011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505237 (or 5505231 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 105610011056 its reverse (650110016501), we get a palindrome (755720027557).

Subtracting 105610011056 from its reverse (650110016501), we obtain a palindrome (544500005445).

The spelling of 105610011056 in words is "one hundred five billion, six hundred ten million, eleven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 4796 9592 19184 5505109 11010218 22020436 44040872 60556199 88081744 121112398 242224796 484449592 600056881 968899184 1200113762 2400227524 4800455048 6600625691 9600910096 13201251382 26402502764 52805005528 105610011056