Search a number
-
+
105423556261 is a prime number
BaseRepresentation
bin110001000101110111…
…0111100111010100101
3101002010011000112202211
41202023232330322211
53211401412300021
6120233024403421
710421331304612
oct1421356747245
9332104015684
10105423556261
1140789938201
1218522176571
139c3133992a
145161499509
152b204593e1
hex188bbbcea5

105423556261 has 2 divisors, whose sum is σ = 105423556262. Its totient is φ = 105423556260.

The previous prime is 105423556213. The next prime is 105423556279. The reversal of 105423556261 is 162655324501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100292556100 + 5131000161 = 316690^2 + 71631^2 .

It is an emirp because it is prime and its reverse (162655324501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105423556261 - 227 = 105289338533 is a prime.

It is a super-2 number, since 2×1054235562612 (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 (105423556661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52711778130 + 52711778131.

It is an arithmetic number, because the mean of its divisors is an integer number (52711778131).

Almost surely, 2105423556261 is an apocalyptic number.

It is an amenable number.

105423556261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105423556261 is an equidigital number, since it uses as much as digits as its factorization.

105423556261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 105423556261 in words is "one hundred five billion, four hundred twenty-three million, five hundred fifty-six thousand, two hundred sixty-one".