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105681866555 = 5291787407857
BaseRepresentation
bin110001001101100100…
…0010100111100111011
3101002210011002001212202
41202123020110330323
53212414024212210
6120314413100415
710430616021056
oct1423310247473
9332704061782
10105681866555
1140901727591
121859478770b
139c729cba65
1451878d9a9d
152b37e809a5
hex189b214f3b

105681866555 has 16 divisors (see below), whose sum is σ = 131265018720. Its totient is φ = 81584251392.

The previous prime is 105681866509. The next prime is 105681866569. The reversal of 105681866555 is 555668186501.

It is a happy number.

It is not a de Polignac number, because 105681866555 - 212 = 105681862459 is a prime.

It is a super-2 number, since 2×1056818665552 (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 105681866555.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 55187 + ... + 463043.

It is an arithmetic number, because the mean of its divisors is an integer number (8204063670).

Almost surely, 2105681866555 is an apocalyptic number.

105681866555 is a deficient number, since it is larger than the sum of its proper divisors (25583152165).

105681866555 is a wasteful number, since it uses less digits than its factorization.

105681866555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409678.

The product of its (nonzero) digits is 8640000, while the sum is 56.

The spelling of 105681866555 in words is "one hundred five billion, six hundred eighty-one million, eight hundred sixty-six thousand, five hundred fifty-five".

Divisors: 1 5 29 145 1787 8935 51823 259115 407857 2039285 11827853 59139265 728840459 3644202295 21136373311 105681866555