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563105106 = 23231283617
BaseRepresentation
bin100001100100000…
…100110101010010
31110020120200222200
4201210010311102
52123123330411
6131513144030
716645212564
oct4144046522
91406520880
10563105106
11269949223
121386bb016
138c87b4b5
1454b01334
1534680e56
hex21904d52

563105106 has 12 divisors (see below), whose sum is σ = 1220061102. Its totient is φ = 187701696.

The previous prime is 563105089. The next prime is 563105107. The reversal of 563105106 is 601501365.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 297252081 + 265853025 = 17241^2 + 16305^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 563105106.

It is not an unprimeable number, because it can be changed into a prime (563105107) 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 5 ways as a sum of consecutive naturals, for example, 15641791 + ... + 15641826.

Almost surely, 2563105106 is an apocalyptic number.

563105106 is an abundant number, since it is smaller than the sum of its proper divisors (656955996).

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

563105106 is a wasteful number, since it uses less digits than its factorization.

563105106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31283625 (or 31283622 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 563105106 is about 23729.8357769286. The cubic root of 563105106 is about 825.7777085150. Note that the first 4 decimals are identical.

It can be divided in two parts, 56310 and 5106, that added together give a palindrome (61416).

The spelling of 563105106 in words is "five hundred sixty-three million, one hundred five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31283617 62567234 93850851 187701702 281552553 563105106