Search a number
-
+
105542235181 is a prime number
BaseRepresentation
bin110001001001011001…
…1101011010000101101
3101002102102100001122101
41202102303223100231
53212122303011211
6120252504215101
710424302124365
oct1422263532055
9332372301571
10105542235181
114083a927459
1218555a6a491
139c4cac0446
14517314d9a5
152b2aa9d5c1
hex1892ceb42d

105542235181 has 2 divisors, whose sum is σ = 105542235182. Its totient is φ = 105542235180.

The previous prime is 105542235143. The next prime is 105542235199. The reversal of 105542235181 is 181532245501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92725731081 + 12816504100 = 304509^2 + 113210^2 .

It is a cyclic number.

It is not a de Polignac number, because 105542235181 - 211 = 105542233133 is a prime.

It is a super-2 number, since 2×1055422351812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105542235181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105542235581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52771117590 + 52771117591.

It is an arithmetic number, because the mean of its divisors is an integer number (52771117591).

Almost surely, 2105542235181 is an apocalyptic number.

It is an amenable number.

105542235181 is a deficient number, since it is larger than the sum of its proper divisors (1).

105542235181 is an equidigital number, since it uses as much as digits as its factorization.

105542235181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 105542235181 in words is "one hundred five billion, five hundred forty-two million, two hundred thirty-five thousand, one hundred eighty-one".