Search a number
-
+
105648317 is a prime number
BaseRepresentation
bin1100100110000…
…01000010111101
321100210111020122
412103001002331
5204021221232
614252224325
72421665405
oct623010275
9240714218
10105648317
11546aa165
122b46b0a5
1318b706c8
1410061805
15941d312
hex64c10bd

105648317 has 2 divisors, whose sum is σ = 105648318. Its totient is φ = 105648316.

The previous prime is 105648313. The next prime is 105648343. The reversal of 105648317 is 713846501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76282756 + 29365561 = 8734^2 + 5419^2 .

It is a cyclic number.

It is not a de Polignac number, because 105648317 - 22 = 105648313 is a prime.

It is a super-2 number, since 2×1056483172 = 22323133769864978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105648313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52824158 + 52824159.

It is an arithmetic number, because the mean of its divisors is an integer number (52824159).

Almost surely, 2105648317 is an apocalyptic number.

It is an amenable number.

105648317 is a deficient number, since it is larger than the sum of its proper divisors (1).

105648317 is an equidigital number, since it uses as much as digits as its factorization.

105648317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 105648317 is about 10278.5367149220. The cubic root of 105648317 is about 472.7383782659.

It can be divided in two parts, 10564 and 8317, that added together give a palindrome (18881).

The spelling of 105648317 in words is "one hundred five million, six hundred forty-eight thousand, three hundred seventeen".