Search a number
-
+
105454311377 is a prime number
BaseRepresentation
bin110001000110110010…
…0010001011111010001
3101002012021220001212012
41202031210101133101
53211432300431002
6120240043512305
710422153566642
oct1421544213721
9332167801765
10105454311377
11407a5233a58
1218530528695
139c3781751c
1451655c36c9
152b22ed1d52
hex188d9117d1

105454311377 has 2 divisors, whose sum is σ = 105454311378. Its totient is φ = 105454311376.

The previous prime is 105454311371. The next prime is 105454311397. The reversal of 105454311377 is 773113454501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103612528321 + 1841783056 = 321889^2 + 42916^2 .

It is a cyclic number.

It is not a de Polignac number, because 105454311377 - 214 = 105454294993 is a prime.

It is a super-2 number, since 2×1054543113772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105454311371) 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, 52727155688 + 52727155689.

It is an arithmetic number, because the mean of its divisors is an integer number (52727155689).

Almost surely, 2105454311377 is an apocalyptic number.

It is an amenable number.

105454311377 is a deficient number, since it is larger than the sum of its proper divisors (1).

105454311377 is an equidigital number, since it uses as much as digits as its factorization.

105454311377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 41.

Adding to 105454311377 its reverse (773113454501), we get a palindrome (878567765878).

The spelling of 105454311377 in words is "one hundred five billion, four hundred fifty-four million, three hundred eleven thousand, three hundred seventy-seven".