Search a number
-
+
105772481 is a prime number
BaseRepresentation
bin1100100110111…
…11010111000001
321101000210120022
412103133113001
5204034204411
614255023225
72423023403
oct623372701
9241023508
10105772481
1154784481
122b50ab15
1318bb5089
1410094b73
159444edb
hex64df5c1

105772481 has 2 divisors, whose sum is σ = 105772482. Its totient is φ = 105772480.

The previous prime is 105772441. The next prime is 105772489. The reversal of 105772481 is 184277501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100320256 + 5452225 = 10016^2 + 2335^2 .

It is a cyclic number.

It is not a de Polignac number, because 105772481 - 26 = 105772417 is a prime.

It is a super-2 number, since 2×1057724812 = 22375635473790722, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105772489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52886240 + 52886241.

It is an arithmetic number, because the mean of its divisors is an integer number (52886241).

Almost surely, 2105772481 is an apocalyptic number.

It is an amenable number.

105772481 is a deficient number, since it is larger than the sum of its proper divisors (1).

105772481 is an equidigital number, since it uses as much as digits as its factorization.

105772481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 105772481 is about 10284.5749061398. The cubic root of 105772481 is about 472.9235022380.

The spelling of 105772481 in words is "one hundred five million, seven hundred seventy-two thousand, four hundred eighty-one".