Search a number
-
+
106010294437 is a prime number
BaseRepresentation
bin110001010111010110…
…1001011100010100101
3101010122001001221020101
41202232231023202211
53214102113410222
6120411144304101
710442014430545
oct1425655134245
9333561057211
10106010294437
1140a60058293
1218666772031
139cc5a71098
1451b938d325
152b56c07927
hex18aeb4b8a5

106010294437 has 2 divisors, whose sum is σ = 106010294438. Its totient is φ = 106010294436.

The previous prime is 106010294389. The next prime is 106010294443. The reversal of 106010294437 is 734492010601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105255473761 + 754820676 = 324431^2 + 27474^2 .

It is an emirp because it is prime and its reverse (734492010601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106010294437 - 219 = 106009770149 is a prime.

It is a super-2 number, since 2×1060102944372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010294396 and 106010294405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106010294447) 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, 53005147218 + 53005147219.

It is an arithmetic number, because the mean of its divisors is an integer number (53005147219).

Almost surely, 2106010294437 is an apocalyptic number.

It is an amenable number.

106010294437 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010294437 is an equidigital number, since it uses as much as digits as its factorization.

106010294437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 106010294437 in words is "one hundred six billion, ten million, two hundred ninety-four thousand, four hundred thirty-seven".