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105066655161 = 3132992897131
BaseRepresentation
bin110000111011001110…
…1011110110110111001
3101001012021110002111120
41201312131132312321
53210134030431121
6120133355015453
710406435555616
oct1416635366671
9331167402446
10105066655161
114061642a116
121844273a589
139ba5408550
145129d1350d
152aede5abc6
hex187675edb9

105066655161 has 16 divisors (see below), whose sum is σ = 156067181760. Its totient is φ = 62426871360.

The previous prime is 105066655147. The next prime is 105066655249. The reversal of 105066655161 is 161556660501.

It is not a de Polignac number, because 105066655161 - 27 = 105066655033 is a prime.

It is a super-2 number, since 2×1050666551612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066653161) 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 in 15 ways as a sum of consecutive naturals, for example, 46447435 + ... + 46449696.

It is an arithmetic number, because the mean of its divisors is an integer number (9754198860).

Almost surely, 2105066655161 is an apocalyptic number.

It is an amenable number.

105066655161 is a deficient number, since it is larger than the sum of its proper divisors (51000526599).

105066655161 is a wasteful number, since it uses less digits than its factorization.

105066655161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92897176.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 105066655161 in words is "one hundred five billion, sixty-six million, six hundred fifty-five thousand, one hundred sixty-one".

Divisors: 1 3 13 29 39 87 377 1131 92897131 278691393 1207662703 2694016799 3622988109 8082050397 35022218387 105066655161