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105666114987 = 3219721385669
BaseRepresentation
bin110001001101000110…
…0001111010110101011
3101002202001102210210100
41202122030033112223
53212401011134422
6120313051320443
710430335105116
oct1423214172653
9332661383710
10105666114987
11408a3849164
121858b450123
139c6c6752c4
14518579957d
152b368bd7ac
hex189a30f5ab

105666114987 has 24 divisors (see below), whose sum is σ = 160686078800. Its totient is φ = 66726462528.

The previous prime is 105666114947. The next prime is 105666115013. The reversal of 105666114987 is 789411666501.

It is not a de Polignac number, because 105666114987 - 28 = 105666114731 is a prime.

It is a super-2 number, since 2×1056661149872 (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 (105666114937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190589 + ... + 1276257.

Almost surely, 2105666114987 is an apocalyptic number.

105666114987 is a deficient number, since it is larger than the sum of its proper divisors (55019963813).

105666114987 is a wasteful number, since it uses less digits than its factorization.

105666114987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92907 (or 92904 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 105666114987 in words is "one hundred five billion, six hundred sixty-six million, one hundred fourteen thousand, nine hundred eighty-seven".

Divisors: 1 3 9 19 57 171 7213 21639 64917 85669 137047 257007 411141 771021 1233423 1627711 4883133 14649399 617930497 1853791491 5561374473 11740679443 35222038329 105666114987