Search a number
-
+
106434604721 is a prime number
BaseRepresentation
bin110001100011111111…
…1110010111010110001
3101011201121111010112002
41203013333302322301
53220434224322341
6120521222543345
710455356133014
oct1430777627261
9334647433462
10106434604721
1141158617945
1218764897b55
13a062944963
14521988137b
152b7e0be29b
hex18c7ff2eb1

106434604721 has 2 divisors, whose sum is σ = 106434604722. Its totient is φ = 106434604720.

The previous prime is 106434604597. The next prime is 106434604739. The reversal of 106434604721 is 127406434601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71302350625 + 35132254096 = 267025^2 + 187436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106434604721 is a prime.

It is a super-2 number, since 2×1064346047212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106434634721) 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, 53217302360 + 53217302361.

It is an arithmetic number, because the mean of its divisors is an integer number (53217302361).

Almost surely, 2106434604721 is an apocalyptic number.

It is an amenable number.

106434604721 is a deficient number, since it is larger than the sum of its proper divisors (1).

106434604721 is an equidigital number, since it uses as much as digits as its factorization.

106434604721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 106434604721 in words is "one hundred six billion, four hundred thirty-four million, six hundred four thousand, seven hundred twenty-one".