Search a number
-
+
105822361 is a prime number
BaseRepresentation
bin1100100111010…
…11100010011001
321101010022222201
412103223202121
5204042303421
614300050201
72423322001
oct623534231
9241108881
10105822361
11548089a7
122b533961
1318c019a8
14100a9001
159454b91
hex64eb899

105822361 has 2 divisors, whose sum is σ = 105822362. Its totient is φ = 105822360.

The previous prime is 105822359. The next prime is 105822391. The reversal of 105822361 is 163228501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89661961 + 16160400 = 9469^2 + 4020^2 .

It is a cyclic number.

It is not a de Polignac number, because 105822361 - 21 = 105822359 is a prime.

It is a super-2 number, since 2×1058223612 = 22396744175228642, which contains 22 as substring.

Together with 105822359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105822391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52911180 + 52911181.

It is an arithmetic number, because the mean of its divisors is an integer number (52911181).

Almost surely, 2105822361 is an apocalyptic number.

It is an amenable number.

105822361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105822361 is an equidigital number, since it uses as much as digits as its factorization.

105822361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105822361 is about 10286.9996111597. Note that the first 3 decimals coincide. The cubic root of 105822361 is about 472.9978306989.

The spelling of 105822361 in words is "one hundred five million, eight hundred twenty-two thousand, three hundred sixty-one".