Search a number
-
+
106546164163 is a prime number
BaseRepresentation
bin110001100111010100…
…1010111000111000011
3101012000101101221022021
41203032221113013003
53221201304223123
6120540250022311
710461212311135
oct1431651270703
9335011357267
10106546164163
114120559412a
1218796117997
13a07caa4a6a
14522a601055
152b88ca8c5d
hex18cea571c3

106546164163 has 2 divisors, whose sum is σ = 106546164164. Its totient is φ = 106546164162.

The previous prime is 106546164149. The next prime is 106546164167. The reversal of 106546164163 is 361461645601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106546164163 - 217 = 106546033091 is a prime.

It is a super-2 number, since 2×1065461641632 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106546164167) 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, 53273082081 + 53273082082.

It is an arithmetic number, because the mean of its divisors is an integer number (53273082082).

Almost surely, 2106546164163 is an apocalyptic number.

106546164163 is a deficient number, since it is larger than the sum of its proper divisors (1).

106546164163 is an equidigital number, since it uses as much as digits as its factorization.

106546164163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 106546164163 in words is "one hundred six billion, five hundred forty-six million, one hundred sixty-four thousand, one hundred sixty-three".