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105261866381 = 7172729324131
BaseRepresentation
bin110001000001000011…
…0001001110110001101
3101001200212202211221202
41202002012021312031
53211034014211011
6120205011035245
710414326046550
oct1420206116615
9331625684852
10105261866381
1140706641201
1218497b9bb25
139c069a6c49
145147c0a697
152b1116b23b
hex1882189d8d

105261866381 has 16 divisors (see below), whose sum is σ = 127422771840. Its totient is φ = 84885757440.

The previous prime is 105261866357. The next prime is 105261866419. The reversal of 105261866381 is 183668162501.

It is a cyclic number.

It is not a de Polignac number, because 105261866381 - 26 = 105261866317 is a prime.

It is a super-2 number, since 2×1052618663812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261866321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162686 + ... + 486816.

It is an arithmetic number, because the mean of its divisors is an integer number (7963923240).

Almost surely, 2105261866381 is an apocalyptic number.

It is an amenable number.

105261866381 is a deficient number, since it is larger than the sum of its proper divisors (22160905459).

105261866381 is a wasteful number, since it uses less digits than its factorization.

105261866381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326884.

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 105261866381 in words is "one hundred five billion, two hundred sixty-one million, eight hundred sixty-six thousand, three hundred eighty-one".

Divisors: 1 7 17 119 2729 19103 46393 324131 324751 2268917 5510227 38571589 884553499 6191874493 15037409483 105261866381