Search a number
-
+
106758713 is a prime number
BaseRepresentation
bin1100101110100…
…00001000111001
321102212220102102
412113100020321
5204312234323
614332113145
72434301615
oct627201071
9242786372
10106758713
1155298446
122b9057b5
131916bc49
1410270345
15958c328
hex65d0239

106758713 has 2 divisors, whose sum is σ = 106758714. Its totient is φ = 106758712.

The previous prime is 106758697. The next prime is 106758721. The reversal of 106758713 is 317857601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92409769 + 14348944 = 9613^2 + 3788^2 .

It is a cyclic number.

It is not a de Polignac number, because 106758713 - 24 = 106758697 is a prime.

It is a super-2 number, since 2×1067587132 = 22794845602832738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106758013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53379356 + 53379357.

It is an arithmetic number, because the mean of its divisors is an integer number (53379357).

Almost surely, 2106758713 is an apocalyptic number.

It is an amenable number.

106758713 is a deficient number, since it is larger than the sum of its proper divisors (1).

106758713 is an equidigital number, since it uses as much as digits as its factorization.

106758713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 106758713 is about 10332.4108029056. The cubic root of 106758713 is about 474.3888176225.

The spelling of 106758713 in words is "one hundred six million, seven hundred fifty-eight thousand, seven hundred thirteen".