Search a number
-
+
106542043506581 is a prime number
BaseRepresentation
bin11000001110011001000000…
…101010000010011110010101
3111222020022122012100012221212
4120032121000222002132111
5102431041101114202311
61014332423351151205
731304260105350044
oct3016310052023625
9458208565305855
10106542043506581
1130a47255017881
12bb4868a975505
13475ab43b74047
141c4493b97455b
15c4b60a47ac8b
hex60e640a82795

106542043506581 has 2 divisors, whose sum is σ = 106542043506582. Its totient is φ = 106542043506580.

The previous prime is 106542043506529. The next prime is 106542043506643. The reversal of 106542043506581 is 185605340245601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103503154322500 + 3038889184081 = 10173650^2 + 1743241^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106542043506581 is a prime.

It is a super-2 number, since 2×1065420435065812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106542043506281) 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, 53271021753290 + 53271021753291.

It is an arithmetic number, because the mean of its divisors is an integer number (53271021753291).

Almost surely, 2106542043506581 is an apocalyptic number.

It is an amenable number.

106542043506581 is a deficient number, since it is larger than the sum of its proper divisors (1).

106542043506581 is an equidigital number, since it uses as much as digits as its factorization.

106542043506581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456000, while the sum is 50.

The spelling of 106542043506581 in words is "one hundred six trillion, five hundred forty-two billion, forty-three million, five hundred six thousand, five hundred eighty-one".