Search a number
-
+
105648253 is a prime number
BaseRepresentation
bin1100100110000…
…01000001111101
321100210111011021
412103001001331
5204021221003
614252224141
72421665254
oct623010175
9240714137
10105648253
11546aa107
122b46b051
1318b70679
141006179b
15941d2bd
hex64c107d

105648253 has 2 divisors, whose sum is σ = 105648254. Its totient is φ = 105648252.

The previous prime is 105648241. The next prime is 105648259. The reversal of 105648253 is 352846501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102454884 + 3193369 = 10122^2 + 1787^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105648253 is a prime.

It is a super-2 number, since 2×1056482532 = 22323106723904018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105648259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52824126 + 52824127.

It is an arithmetic number, because the mean of its divisors is an integer number (52824127).

Almost surely, 2105648253 is an apocalyptic number.

It is an amenable number.

105648253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105648253 is an equidigital number, since it uses as much as digits as its factorization.

105648253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 105648253 is about 10278.5336016379. The cubic root of 105648253 is about 472.7382828068.

The spelling of 105648253 in words is "one hundred five million, six hundred forty-eight thousand, two hundred fifty-three".