Search a number
-
+
106462729 is a prime number
BaseRepresentation
bin1100101100001…
…11111000001001
321102022212102001
412112013320021
5204223301404
614321511001
72431626652
oct626077011
9242285361
10106462729
115510602a
122b7a2461
13190972c9
14101d4529
15952e7a4
hex6587e09

106462729 has 2 divisors, whose sum is σ = 106462730. Its totient is φ = 106462728.

The previous prime is 106462709. The next prime is 106462771. The reversal of 106462729 is 927264601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106399225 + 63504 = 10315^2 + 252^2 .

It is a cyclic number.

It is not a de Polignac number, because 106462729 - 223 = 98074121 is a prime.

It is a super-2 number, since 2×1064627292 = 22668625332254882, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106462709) 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, 53231364 + 53231365.

It is an arithmetic number, because the mean of its divisors is an integer number (53231365).

Almost surely, 2106462729 is an apocalyptic number.

It is an amenable number.

106462729 is a deficient number, since it is larger than the sum of its proper divisors (1).

106462729 is an equidigital number, since it uses as much as digits as its factorization.

106462729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 106462729 is about 10318.0777764078. The cubic root of 106462729 is about 473.9500042220.

The spelling of 106462729 in words is "one hundred six million, four hundred sixty-two thousand, seven hundred twenty-nine".