Search a number
-
+
106580335969 is a prime number
BaseRepresentation
bin110001101000010101…
…1101101110101100001
3101012002202201001012201
41203100223231311201
53221234031222334
6120543510253201
710462105623322
oct1432053556541
9335082631181
10106580335969
1141222903998
12187a5657201
13a086baa873
145230d78449
152b8bca8c14
hex18d0aedd61

106580335969 has 2 divisors, whose sum is σ = 106580335970. Its totient is φ = 106580335968.

The previous prime is 106580335937. The next prime is 106580335987. The reversal of 106580335969 is 969533085601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71469071569 + 35111264400 = 267337^2 + 187380^2 .

It is a cyclic number.

It is not a de Polignac number, because 106580335969 - 25 = 106580335937 is a prime.

It is a super-2 number, since 2×1065803359692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106580335369) 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, 53290167984 + 53290167985.

It is an arithmetic number, because the mean of its divisors is an integer number (53290167985).

Almost surely, 2106580335969 is an apocalyptic number.

It is an amenable number.

106580335969 is a deficient number, since it is larger than the sum of its proper divisors (1).

106580335969 is an equidigital number, since it uses as much as digits as its factorization.

106580335969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5248800, while the sum is 55.

The spelling of 106580335969 in words is "one hundred six billion, five hundred eighty million, three hundred thirty-five thousand, nine hundred sixty-nine".