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105618990969 = 3297120983953
BaseRepresentation
bin110001001011101100…
…0011110011101111001
3101002121202202122210100
41202113120132131321
53212301430202334
6120304245310013
710426223416242
oct1422730363571
9332552678710
10105618990969
114087a192198
1218577705309
139c62985c7b
14517d40dcc9
152b326b0c99
hex189761e779

105618990969 has 12 divisors (see below), whose sum is σ = 154133557396. Its totient is φ = 69686756352.

The previous prime is 105618990949. The next prime is 105618990977. The reversal of 105618990969 is 969099816501.

It is a happy number.

105618990969 is a `hidden beast` number, since 1 + 0 + 5 + 618 + 9 + 9 + 0 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25409954025 + 80209036944 = 159405^2 + 283212^2 .

It is not a de Polignac number, because 105618990969 - 25 = 105618990937 is a prime.

It is a super-2 number, since 2×1056189909692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105618990949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60491104 + ... + 60492849.

Almost surely, 2105618990969 is an apocalyptic number.

It is an amenable number.

105618990969 is a deficient number, since it is larger than the sum of its proper divisors (48514566427).

105618990969 is a wasteful number, since it uses less digits than its factorization.

105618990969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120984056 (or 120984053 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 105618990969 in words is "one hundred five billion, six hundred eighteen million, nine hundred ninety thousand, nine hundred sixty-nine".

Divisors: 1 3 9 97 291 873 120983953 362951859 1088855577 11735443441 35206330323 105618990969