Search a number
-
+
106553149 is a prime number
BaseRepresentation
bin1100101100111…
…01111100111101
321102111110102221
412112131330331
5204234200044
614323445341
72432454403
oct626357475
9242443387
10106553149
1155167a5a
122b826851
13190c9501
1410219473
15954b484
hex659df3d

106553149 has 2 divisors, whose sum is σ = 106553150. Its totient is φ = 106553148.

The previous prime is 106553147. The next prime is 106553171. The reversal of 106553149 is 941355601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106296100 + 257049 = 10310^2 + 507^2 .

It is an emirp because it is prime and its reverse (941355601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106553149 - 21 = 106553147 is a prime.

It is a super-2 number, since 2×1065531492 = 22707147123632402, which contains 22 as substring.

Together with 106553147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106553141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53276574 + 53276575.

It is an arithmetic number, because the mean of its divisors is an integer number (53276575).

Almost surely, 2106553149 is an apocalyptic number.

It is an amenable number.

106553149 is a deficient number, since it is larger than the sum of its proper divisors (1).

106553149 is an equidigital number, since it uses as much as digits as its factorization.

106553149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 106553149 is about 10322.4584765452. The cubic root of 106553149 is about 474.0841432871.

The spelling of 106553149 in words is "one hundred six million, five hundred fifty-three thousand, one hundred forty-nine".