Search a number
-
+
106626635461 is a prime number
BaseRepresentation
bin110001101001101110…
…0010101011011000101
3101012012222211022011201
41203103130111123011
53221332404313321
6120552242502501
710463210306263
oct1432334253305
9335188738151
10106626635461
1141246a57435
12187b9064a31
13a09366b808
14523718b433
152b90da2291
hex18d37156c5

106626635461 has 2 divisors, whose sum is σ = 106626635462. Its totient is φ = 106626635460.

The previous prime is 106626635443. The next prime is 106626635501. The reversal of 106626635461 is 164536626601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103551378436 + 3075257025 = 321794^2 + 55455^2 .

It is a cyclic number.

It is not a de Polignac number, because 106626635461 - 221 = 106624538309 is a prime.

It is a super-2 number, since 2×1066266354612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106626633461) 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 as a sum of consecutive naturals, namely, 53313317730 + 53313317731.

It is an arithmetic number, because the mean of its divisors is an integer number (53313317731).

Almost surely, 2106626635461 is an apocalyptic number.

It is an amenable number.

106626635461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106626635461 is an equidigital number, since it uses as much as digits as its factorization.

106626635461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 106626635461 in words is "one hundred six billion, six hundred twenty-six million, six hundred thirty-five thousand, four hundred sixty-one".