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80105 = 537433
BaseRepresentation
bin10011100011101001
311001212212
4103203221
510030410
61414505
7452354
oct234351
9131785
1080105
1155203
123a435
132a5cc
142129b
1518b05
hex138e9

80105 has 8 divisors (see below), whose sum is σ = 98952. Its totient is φ = 62208.

The previous prime is 80077. The next prime is 80107. The reversal of 80105 is 50108.

It can be written as a sum of positive squares in 4 ways, for example, as 8281 + 71824 = 91^2 + 268^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-80105 is a prime.

It is a super-2 number, since 2×801052 = 12833622050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 80105.

It is not an unprimeable number, because it can be changed into a prime (80107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

280105 is an apocalyptic number.

It is an amenable number.

80105 is a deficient number, since it is larger than the sum of its proper divisors (18847).

80105 is a wasteful number, since it uses less digits than its factorization.

80105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 80105 is about 283.0282671395. The cubic root of 80105 is about 43.1075368627.

The spelling of 80105 in words is "eighty thousand, one hundred five".

Divisors: 1 5 37 185 433 2165 16021 80105