Search a number
-
+
106224769877 is a prime number
BaseRepresentation
bin110001011101101111…
…1010101101101010101
3101011011222122102020012
41202323133111231111
53220022020114002
6120444325250005
710450230434432
oct1427337255525
9334158572205
10106224769877
1141060127916
1218706563905
13a02b326025
1451d9a5cb89
152b6a970d52
hex18bb7d5b55

106224769877 has 2 divisors, whose sum is σ = 106224769878. Its totient is φ = 106224769876.

The previous prime is 106224769867. The next prime is 106224769879. The reversal of 106224769877 is 778967422601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83679447076 + 22545322801 = 289274^2 + 150151^2 .

It is a cyclic number.

It is not a de Polignac number, because 106224769877 - 28 = 106224769621 is a prime.

It is a super-2 number, since 2×1062247698772 (a number of 23 digits) contains 22 as substring.

Together with 106224769879, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106224769879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53112384938 + 53112384939.

It is an arithmetic number, because the mean of its divisors is an integer number (53112384939).

Almost surely, 2106224769877 is an apocalyptic number.

It is an amenable number.

106224769877 is a deficient number, since it is larger than the sum of its proper divisors (1).

106224769877 is an equidigital number, since it uses as much as digits as its factorization.

106224769877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14224896, while the sum is 59.

The spelling of 106224769877 in words is "one hundred six billion, two hundred twenty-four million, seven hundred sixty-nine thousand, eight hundred seventy-seven".