Search a number
-
+
106717157 is a prime number
BaseRepresentation
bin1100101110001…
…01111111100101
321102210210102022
412113011333211
5204304422112
614331152525
72434036511
oct627057745
9242723368
10106717157
115526a1a8
122b8a5745
1319156061
141025d141
15957ed72
hex65c5fe5

106717157 has 2 divisors, whose sum is σ = 106717158. Its totient is φ = 106717156.

The previous prime is 106717151. The next prime is 106717207. The reversal of 106717157 is 751717601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103205281 + 3511876 = 10159^2 + 1874^2 .

It is a cyclic number.

It is not a de Polignac number, because 106717157 - 222 = 102522853 is a prime.

It is a super-2 number, since 2×1067171572 = 22777103196325298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106717151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53358578 + 53358579.

It is an arithmetic number, because the mean of its divisors is an integer number (53358579).

Almost surely, 2106717157 is an apocalyptic number.

It is an amenable number.

106717157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106717157 is an equidigital number, since it uses as much as digits as its factorization.

106717157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10290, while the sum is 35.

The square root of 106717157 is about 10330.3996534500. The cubic root of 106717157 is about 474.3272574321.

The spelling of 106717157 in words is "one hundred six million, seven hundred seventeen thousand, one hundred fifty-seven".