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105426361361 = 1931753311609
BaseRepresentation
bin110001000101111100…
…1101001110000010001
3101002010100022001122102
41202023321221300101
53211403122030421
6120233204450145
710421364200006
oct1421371516021
9332110261572
10105426361361
1140790483772
12185230a9955
139c31aac659
1451619c98ad
152b2081060b
hex188be69c11

105426361361 has 8 divisors (see below), whose sum is σ = 106033404360. Its totient is φ = 104819945472.

The previous prime is 105426361357. The next prime is 105426361367. The reversal of 105426361361 is 163163624501.

It can be written as a sum of positive squares in 4 ways, for example, as 96904336 + 105329457025 = 9844^2 + 324545^2 .

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 105426361361 - 22 = 105426361357 is a prime.

It is a super-2 number, since 2×1054263613612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105426361367) 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, 182525 + ... + 494133.

It is an arithmetic number, because the mean of its divisors is an integer number (13254175545).

Almost surely, 2105426361361 is an apocalyptic number.

It is an amenable number.

105426361361 is a deficient number, since it is larger than the sum of its proper divisors (607042999).

105426361361 is a wasteful number, since it uses less digits than its factorization.

105426361361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313555.

The product of its (nonzero) digits is 77760, while the sum is 38.

Adding to 105426361361 its reverse (163163624501), we get a palindrome (268589985862).

The spelling of 105426361361 in words is "one hundred five billion, four hundred twenty-six million, three hundred sixty-one thousand, three hundred sixty-one".

Divisors: 1 193 1753 311609 338329 60140537 546250577 105426361361