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105452443304 = 23131815602021
BaseRepresentation
bin110001000110101110…
…1001001011010101000
3101002012011101011100022
41202031131021122220
53211431311141204
6120235535500012
710422131656445
oct1421535113250
9332164334308
10105452443304
11407a417849a
121852b987608
139c37312160
1451652589cc
152b22c635be
hex188d7496a8

105452443304 has 32 divisors (see below), whose sum is σ = 214109280840. Its totient is φ = 48401452800.

The previous prime is 105452443301. The next prime is 105452443309. The reversal of 105452443304 is 403344254501.

It can be written as a sum of positive squares in 4 ways, for example, as 12701740804 + 92750702500 = 112702^2 + 304550^2 .

It is a super-2 number, since 2×1054524433042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105452443301) by changing a digit.

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, 2782187 + ... + 2819834.

Almost surely, 2105452443304 is an apocalyptic number.

It is an amenable number.

105452443304 is an abundant number, since it is smaller than the sum of its proper divisors (108656837536).

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

105452443304 is a wasteful number, since it uses less digits than its factorization.

105452443304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602221 (or 5602217 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 105452443304 its reverse (403344254501), we get a palindrome (508796697805).

The spelling of 105452443304 in words is "one hundred five billion, four hundred fifty-two million, four hundred forty-three thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 181 362 724 1448 2353 4706 9412 18824 5602021 11204042 22408084 44816168 72826273 145652546 291305092 582610184 1013965801 2027931602 4055863204 8111726408 13181555413 26363110826 52726221652 105452443304