Search a number
-
+
106516479997 is a prime number
BaseRepresentation
bin110001100110011100…
…0000111111111111101
3101011221022112211021201
41203030320013333331
53221121204324442
6120533305455501
710460402066314
oct1431470077775
9334838484251
10106516479997
114119a859a64
12187881a1591
13a0768b0775
1452266b527b
152b863937b7
hex18cce07ffd

106516479997 has 2 divisors, whose sum is σ = 106516479998. Its totient is φ = 106516479996.

The previous prime is 106516479941. The next prime is 106516480009. The reversal of 106516479997 is 799974615601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105456717081 + 1059762916 = 324741^2 + 32554^2 .

It is a cyclic number.

It is not a de Polignac number, because 106516479997 - 219 = 106515955709 is a prime.

It is a super-2 number, since 2×1065164799972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106516479697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53258239998 + 53258239999.

It is an arithmetic number, because the mean of its divisors is an integer number (53258239999).

Almost surely, 2106516479997 is an apocalyptic number.

It is an amenable number.

106516479997 is a deficient number, since it is larger than the sum of its proper divisors (1).

106516479997 is an equidigital number, since it uses as much as digits as its factorization.

106516479997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25719120, while the sum is 64.

The spelling of 106516479997 in words is "one hundred six billion, five hundred sixteen million, four hundred seventy-nine thousand, nine hundred ninety-seven".