Search a number
-
+
106877681 is a prime number
BaseRepresentation
bin1100101111011…
…01001011110001
321110002221121122
412113231023301
5204330041211
614334432025
72435305511
oct627551361
9243087548
10106877681
1155369869
122b962615
13191b1141
14102a1841
1595b26db
hex65ed2f1

106877681 has 2 divisors, whose sum is σ = 106877682. Its totient is φ = 106877680.

The previous prime is 106877651. The next prime is 106877707. The reversal of 106877681 is 186778601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 37405456 = 8335^2 + 6116^2 .

It is a cyclic number.

It is not a de Polignac number, because 106877681 - 214 = 106861297 is a prime.

It is a super-2 number, since 2×1068776812 = 22845677391875522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106877651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53438840 + 53438841.

It is an arithmetic number, because the mean of its divisors is an integer number (53438841).

Almost surely, 2106877681 is an apocalyptic number.

It is an amenable number.

106877681 is a deficient number, since it is larger than the sum of its proper divisors (1).

106877681 is an equidigital number, since it uses as much as digits as its factorization.

106877681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 106877681 is about 10338.1662300429. The cubic root of 106877681 is about 474.5649660493.

The spelling of 106877681 in words is "one hundred six million, eight hundred seventy-seven thousand, six hundred eighty-one".