Search a number
-
+
106502593 is a prime number
BaseRepresentation
bin1100101100100…
…01100111000001
321102101220002111
412112101213001
5204231040333
614322415321
72432154121
oct626214701
9242356074
10106502593
1155132a7a
122b801541
13190ac4b2
1410204c81
15953b4cd
hex65919c1

106502593 has 2 divisors, whose sum is σ = 106502594. Its totient is φ = 106502592.

The previous prime is 106502579. The next prime is 106502621. The reversal of 106502593 is 395205601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 1481089 = 10248^2 + 1217^2 .

It is a cyclic number.

It is not a de Polignac number, because 106502593 - 217 = 106371521 is a prime.

It is a super-2 number, since 2×1065025932 = 22685604631447298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106502503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53251296 + 53251297.

It is an arithmetic number, because the mean of its divisors is an integer number (53251297).

Almost surely, 2106502593 is an apocalyptic number.

It is an amenable number.

106502593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106502593 is an equidigital number, since it uses as much as digits as its factorization.

106502593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 106502593 is about 10320.0093507710. The cubic root of 106502593 is about 474.0091522621.

The spelling of 106502593 in words is "one hundred six million, five hundred two thousand, five hundred ninety-three".