Search a number
-
+
105122881 is a prime number
BaseRepresentation
bin1100100010000…
…00110001000001
321022210210111001
412101000301001
5203402413011
614233052001
72414346463
oct621006101
9238723431
10105122881
1154380416
122b257001
1318a184b6
14dd66133
1593677c1
hex6440c41

105122881 has 2 divisors, whose sum is σ = 105122882. Its totient is φ = 105122880.

The previous prime is 105122873. The next prime is 105122887. The reversal of 105122881 is 188221501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71250481 + 33872400 = 8441^2 + 5820^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122881 - 23 = 105122873 is a prime.

It is a super-2 number, since 2×1051228812 = 22101640219480322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105122887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561440 + 52561441.

It is an arithmetic number, because the mean of its divisors is an integer number (52561441).

Almost surely, 2105122881 is an apocalyptic number.

It is an amenable number.

105122881 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122881 is an equidigital number, since it uses as much as digits as its factorization.

105122881 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 105122881 is about 10252.9449915622. The cubic root of 105122881 is about 471.9533627793.

It can be divided in two parts, 1051 and 22881, that added together give a palindrome (23932).

The spelling of 105122881 in words is "one hundred five million, one hundred twenty-two thousand, eight hundred eighty-one".