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105483087881 = 412437971831
BaseRepresentation
bin110001000111101001…
…0000011000000001001
3101002021022001001210122
41202033102003000021
53212012132303011
6120242552353025
710422653311313
oct1421722030011
9332238031718
10105483087881
114080a4a9196
121853a0a5775
139c40781642
1451693547b3
152b257b83db
hex188f483009

105483087881 has 24 divisors (see below), whose sum is σ = 110832292032. Its totient is φ = 100336118400.

The previous prime is 105483087869. The next prime is 105483087883. The reversal of 105483087881 is 188780384501.

It is not a de Polignac number, because 105483087881 - 210 = 105483086857 is a prime.

It is a super-2 number, since 2×1054830878812 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105483087883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57608636 + ... + 57610466.

It is an arithmetic number, because the mean of its divisors is an integer number (4618012168).

Almost surely, 2105483087881 is an apocalyptic number.

It is an amenable number.

105483087881 is a deficient number, since it is larger than the sum of its proper divisors (5349204151).

105483087881 is an equidigital number, since it uses as much as digits as its factorization.

105483087881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 53.

The spelling of 105483087881 in words is "one hundred five billion, four hundred eighty-three million, eighty-seven thousand, eight hundred eighty-one".

Divisors: 1 41 43 797 1681 1763 1831 32677 34271 72283 75071 78733 1339757 1405111 1459307 3077911 3228053 57609551 59831587 62750201 132350173 2453095067 2572758241 105483087881