[go: up one dir, main page]

Search a number
-
+
10105741 is a prime number
BaseRepresentation
bin100110100011…
…001110001101
3201000102110201
4212203032031
510041340431
61000333501
7151616542
oct46431615
921012421
1010105741
115782658
123474291
13212aa39
1414b0bc9
15d49461
hex9a338d

10105741 has 2 divisors, whose sum is σ = 10105742. Its totient is φ = 10105740.

The previous prime is 10105727. The next prime is 10105747. The reversal of 10105741 is 14750101.

10105741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8003241 + 2102500 = 2829^2 + 1450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105741 - 25 = 10105709 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052870 + 5052871.

It is an arithmetic number, because the mean of its divisors is an integer number (5052871).

Almost surely, 210105741 is an apocalyptic number.

It is an amenable number.

10105741 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105741 is an equidigital number, since it uses as much as digits as its factorization.

10105741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 10105741 is about 3178.9528150006. The cubic root of 10105741 is about 216.2001816478.

Adding to 10105741 its reverse (14750101), we get a palindrome (24855842).

The spelling of 10105741 in words is "ten million, one hundred five thousand, seven hundred forty-one".