Search a number
-
+
106350401 is a prime number
BaseRepresentation
bin1100101011011…
…00011101000001
321102010011022202
412111230131001
5204211203101
614315242545
72430651323
oct625543501
9242104282
10106350401
11550396a3
122b749455
1319058141
14101a5613
15950b36b
hex656c741

106350401 has 2 divisors, whose sum is σ = 106350402. Its totient is φ = 106350400.

The previous prime is 106350397. The next prime is 106350407. The reversal of 106350401 is 104053601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81360400 + 24990001 = 9020^2 + 4999^2 .

It is an emirp because it is prime and its reverse (104053601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106350401 - 22 = 106350397 is a prime.

It is a super-2 number, since 2×1063504012 = 22620815585721602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53175200 + 53175201.

It is an arithmetic number, because the mean of its divisors is an integer number (53175201).

Almost surely, 2106350401 is an apocalyptic number.

It is an amenable number.

106350401 is a deficient number, since it is larger than the sum of its proper divisors (1).

106350401 is an equidigital number, since it uses as much as digits as its factorization.

106350401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106350401 is about 10312.6330779292. The cubic root of 106350401 is about 473.7832585725.

The spelling of 106350401 in words is "one hundred six million, three hundred fifty thousand, four hundred one".