Search a number
-
+
106824008969 is a prime number
BaseRepresentation
bin110001101111100110…
…1010000010100001001
3101012201202012220201122
41203133031100110021
53222233421241334
6121024013125025
710501125044246
oct1433715202411
9335652186648
10106824008969
1141338406037
1218853189775
13a0c5516482
1452554885cd
152ba338d32e
hex18df350509

106824008969 has 2 divisors, whose sum is σ = 106824008970. Its totient is φ = 106824008968.

The previous prime is 106824008933. The next prime is 106824008987. The reversal of 106824008969 is 969800428601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73760041744 + 33063967225 = 271588^2 + 181835^2 .

It is a cyclic number.

It is not a de Polignac number, because 106824008969 - 216 = 106823943433 is a prime.

It is a super-2 number, since 2×1068240089692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106824008969.

It is not a weakly prime, because it can be changed into another prime (106824008989) 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, 53412004484 + 53412004485.

It is an arithmetic number, because the mean of its divisors is an integer number (53412004485).

Almost surely, 2106824008969 is an apocalyptic number.

It is an amenable number.

106824008969 is a deficient number, since it is larger than the sum of its proper divisors (1).

106824008969 is an equidigital number, since it uses as much as digits as its factorization.

106824008969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 106824008969 in words is "one hundred six billion, eight hundred twenty-four million, eight thousand, nine hundred sixty-nine".