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105245132036 = 221129372698287
BaseRepresentation
bin110001000000100011…
…0010100010100000100
3101001122201021122202012
41202001012110110010
53211020223211121
6120203212233352
710414033601432
oct1420106242404
9331581248665
10105245132036
11406a8151470
121849246b858
139c03398075
1451458d1d52
152b0e962c5b
hex1881194504

105245132036 has 96 divisors (see below), whose sum is σ = 214287897600. Its totient is φ = 44768263680.

The previous prime is 105245132033. The next prime is 105245132087. The reversal of 105245132036 is 630231542501.

It is a happy number.

It is a super-2 number, since 2×1052451320362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105245131993 and 105245132011.

It is not an unprimeable number, because it can be changed into a prime (105245132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12695885 + ... + 12704171.

It is an arithmetic number, because the mean of its divisors is an integer number (2232165600).

Almost surely, 2105245132036 is an apocalyptic number.

It is an amenable number.

105245132036 is an abundant number, since it is smaller than the sum of its proper divisors (109042765564).

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

105245132036 is a wasteful number, since it uses less digits than its factorization.

105245132036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8637 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 105245132036 its reverse (630231542501), we get a palindrome (735476674537).

The spelling of 105245132036 in words is "one hundred five billion, two hundred forty-five million, one hundred thirty-two thousand, thirty-six".

Divisors: 1 2 4 11 22 29 37 44 58 74 116 148 269 319 407 538 638 814 1073 1076 1276 1628 2146 2959 4292 5918 7801 8287 9953 11803 11836 15602 16574 19906 23606 31204 33148 39812 47212 85811 91157 109483 171622 182314 218966 240323 288637 306619 343244 364628 437932 480646 577274 613238 961292 1154548 1226476 2229203 2643553 3175007 3372809 4458406 5287106 6350014 6745618 8891951 8916812 10574212 12700028 13491236 17783902 24521233 35567804 49042466 64646887 82480511 97811461 98084932 129293774 164961022 195622922 258587548 329922044 391245844 711115757 907285621 1422231514 1814571242 2391934819 2844463028 3629142484 4783869638 9567739276 26311283009 52622566018 105245132036