Search a number
-
+
106497931 is a prime number
BaseRepresentation
bin1100101100100…
…00011110001011
321102101122200211
412112100132023
5204230413211
614322341551
72432134411
oct626203613
9242348624
10106497931
115512a521
122b7ba8b7
13190aa337
14102032b1
159539e21
hex659078b

106497931 has 2 divisors, whose sum is σ = 106497932. Its totient is φ = 106497930.

The previous prime is 106497901. The next prime is 106497977. The reversal of 106497931 is 139794601.

It is a weak prime.

It is an emirp because it is prime and its reverse (139794601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106497931 is a prime.

It is a super-2 number, since 2×1064979312 = 22683618614561522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106497901) 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, 53248965 + 53248966.

It is an arithmetic number, because the mean of its divisors is an integer number (53248966).

Almost surely, 2106497931 is an apocalyptic number.

106497931 is a deficient number, since it is larger than the sum of its proper divisors (1).

106497931 is an equidigital number, since it uses as much as digits as its factorization.

106497931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 106497931 is about 10319.7834764107. The cubic root of 106497931 is about 474.0022358016.

The spelling of 106497931 in words is "one hundred six million, four hundred ninety-seven thousand, nine hundred thirty-one".