Search a number
-
+
105761 is a prime number
BaseRepresentation
bin11001110100100001
312101002002
4121310201
511341021
62133345
7620225
oct316441
9171062
10105761
1172507
1251255
13391a6
142a785
152150b
hex19d21

105761 has 2 divisors, whose sum is σ = 105762. Its totient is φ = 105760.

The previous prime is 105751. The next prime is 105767. The reversal of 105761 is 167501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 46225 = 244^2 + 215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105761 is a prime.

It is a super-2 number, since 2×1057612 = 22370778242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52880 + 52881.

It is an arithmetic number, because the mean of its divisors is an integer number (52881).

2105761 is an apocalyptic number.

It is an amenable number.

105761 is a deficient number, since it is larger than the sum of its proper divisors (1).

105761 is an equidigital number, since it uses as much as digits as its factorization.

105761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105761 is about 325.2091634625. The cubic root of 105761 is about 47.2906390569.

The spelling of 105761 in words is "one hundred five thousand, seven hundred sixty-one".