Search a number
-
+
106266521 is a prime number
BaseRepresentation
bin1100101010101…
…11111110011001
321101221220021002
412111113332121
5204201012041
614313354345
72430151634
oct625277631
9241856232
10106266521
1154a91679
122b7089b5
1319028bca
1410182c1b
1594e159b
hex6557f99

106266521 has 2 divisors, whose sum is σ = 106266522. Its totient is φ = 106266520.

The previous prime is 106266499. The next prime is 106266529. The reversal of 106266521 is 125662601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70744921 + 35521600 = 8411^2 + 5960^2 .

It is an emirp because it is prime and its reverse (125662601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106266521 is a prime.

It is a super-2 number, since 2×1062665212 = 22585146970886882, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106266529) 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, 53133260 + 53133261.

It is an arithmetic number, because the mean of its divisors is an integer number (53133261).

Almost surely, 2106266521 is an apocalyptic number.

It is an amenable number.

106266521 is a deficient number, since it is larger than the sum of its proper divisors (1).

106266521 is an equidigital number, since it uses as much as digits as its factorization.

106266521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 106266521 is about 10308.5654191066. The cubic root of 106266521 is about 473.6586660557.

The spelling of 106266521 in words is "one hundred six million, two hundred sixty-six thousand, five hundred twenty-one".