Search a number
-
+
106000505477 is a prime number
BaseRepresentation
bin110001010111000011…
…1110101101010000101
3101010121100122121022022
41202232013311222011
53214042112133402
6120410154412525
710441535300366
oct1425607655205
9333540577268
10106000505477
1140a55581739
1218663431145
139cc3a245b9
1451b7d61b6d
152b55e222a2
hex18ae1f5a85

106000505477 has 2 divisors, whose sum is σ = 106000505478. Its totient is φ = 106000505476.

The previous prime is 106000505473. The next prime is 106000505509. The reversal of 106000505477 is 774505000601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105080353921 + 920151556 = 324161^2 + 30334^2 .

It is a cyclic number.

It is not a de Polignac number, because 106000505477 - 22 = 106000505473 is a prime.

It is a super-2 number, since 2×1060005054772 (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 (106000505473) 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, 53000252738 + 53000252739.

It is an arithmetic number, because the mean of its divisors is an integer number (53000252739).

Almost surely, 2106000505477 is an apocalyptic number.

It is an amenable number.

106000505477 is a deficient number, since it is larger than the sum of its proper divisors (1).

106000505477 is an equidigital number, since it uses as much as digits as its factorization.

106000505477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 106000505477 in words is "one hundred six billion, five hundred five thousand, four hundred seventy-seven".