Search a number
-
+
106318829 is a prime number
BaseRepresentation
bin1100101011001…
…00101111101101
321102001120000102
412111210233231
5204204200304
614314440445
72430460301
oct625445755
9242046012
10106318829
1155017a01
122b733125
1319046966
1410197d01
159501d1e
hex6564bed

106318829 has 2 divisors, whose sum is σ = 106318830. Its totient is φ = 106318828.

The previous prime is 106318787. The next prime is 106318847. The reversal of 106318829 is 928813601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69388900 + 36929929 = 8330^2 + 6077^2 .

It is an emirp because it is prime and its reverse (928813601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106318829 - 216 = 106253293 is a prime.

It is a super-2 number, since 2×1063188292 = 22607386799862482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106318792 and 106318801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106318229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53159414 + 53159415.

It is an arithmetic number, because the mean of its divisors is an integer number (53159415).

Almost surely, 2106318829 is an apocalyptic number.

It is an amenable number.

106318829 is a deficient number, since it is larger than the sum of its proper divisors (1).

106318829 is an equidigital number, since it uses as much as digits as its factorization.

106318829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 106318829 is about 10311.1022204224. The cubic root of 106318829 is about 473.7363702820.

The spelling of 106318829 in words is "one hundred six million, three hundred eighteen thousand, eight hundred twenty-nine".