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105974713241 = 618237210913
BaseRepresentation
bin110001010110010010…
…1011100101110011001
3101010112120010020000022
41202230211130232121
53214014011310431
6120403433520225
710441103125355
oct1425445345631
9333476106008
10105974713241
1140a41a65641
1218656873075
139cbb593917
1451b476a465
152b53a2a07b
hex18ac95cb99

105974713241 has 8 divisors (see below), whose sum is σ = 107725590984. Its totient is φ = 104224273920.

The previous prime is 105974713231. The next prime is 105974713297. The reversal of 105974713241 is 142317479501.

It can be written as a sum of positive squares in 4 ways, for example, as 4022223241 + 101952490000 = 63421^2 + 319300^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105974713241 - 214 = 105974696857 is a prime.

It is a super-2 number, since 2×1059747132412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105974713192 and 105974713201.

It is not an unprimeable number, because it can be changed into a prime (105974713211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397001 + ... + 607913.

It is an arithmetic number, because the mean of its divisors is an integer number (13465698873).

Almost surely, 2105974713241 is an apocalyptic number.

It is an amenable number.

105974713241 is a deficient number, since it is larger than the sum of its proper divisors (1750877743).

105974713241 is an equidigital number, since it uses as much as digits as its factorization.

105974713241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219211.

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 105974713241 in words is "one hundred five billion, nine hundred seventy-four million, seven hundred thirteen thousand, two hundred forty-one".

Divisors: 1 61 8237 210913 502457 12865693 1737290381 105974713241