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105441132675 = 3523043146199
BaseRepresentation
bin110001000110011001…
…0000000000010000011
3101002011101002112002010
41202030302000002003
53211420412221200
6120234453224003
710421633561034
oct1421462000203
9332141075063
10105441132675
114079885266a
1218528032003
139c34b81b88
145163952a8b
152b21c7c150
hex188cc80083

105441132675 has 24 divisors (see below), whose sum is σ = 174338841600. Its totient is φ = 56232205600.

The previous prime is 105441132661. The next prime is 105441132721. The reversal of 105441132675 is 576231144501.

It is not a de Polignac number, because 105441132675 - 24 = 105441132659 is a prime.

It is a super-2 number, since 2×1054411326752 (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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259226 + ... + 2305424.

It is an arithmetic number, because the mean of its divisors is an integer number (7264118400).

Almost surely, 2105441132675 is an apocalyptic number.

105441132675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105441132675 is a deficient number, since it is larger than the sum of its proper divisors (68897708925).

105441132675 is a wasteful number, since it uses less digits than its factorization.

105441132675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76643 (or 76638 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 105441132675 in words is "one hundred five billion, four hundred forty-one million, one hundred thirty-two thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 75 30431 46199 91293 138597 152155 230995 456465 692985 760775 1154975 2282325 3464925 1405881769 4217645307 7029408845 21088226535 35147044225 105441132675