Search a number
-
+
106842290437 is a prime number
BaseRepresentation
bin110001110000001001…
…0111111100100000101
3101012210000121201012001
41203200102333210011
53222303111243222
6121025505025301
710501436325061
oct1434022774405
9335700551161
10106842290437
1141347762193
1218859325231
13a0c92475cc
145257a86aa1
152ba4c9ee27
hex18e04bf905

106842290437 has 2 divisors, whose sum is σ = 106842290438. Its totient is φ = 106842290436.

The previous prime is 106842290389. The next prime is 106842290459. The reversal of 106842290437 is 734092248601.

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., 84929113476 + 21913176961 = 291426^2 + 148031^2 .

It is a cyclic number.

It is not a de Polignac number, because 106842290437 - 27 = 106842290309 is a prime.

It is a super-2 number, since 2×1068422904372 (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 (106842090437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53421145218 + 53421145219.

It is an arithmetic number, because the mean of its divisors is an integer number (53421145219).

Almost surely, 2106842290437 is an apocalyptic number.

It is an amenable number.

106842290437 is a deficient number, since it is larger than the sum of its proper divisors (1).

106842290437 is an equidigital number, since it uses as much as digits as its factorization.

106842290437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 106842290437 in words is "one hundred six billion, eight hundred forty-two million, two hundred ninety thousand, four hundred thirty-seven".