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104895 = 345737
BaseRepresentation
bin11001100110111111
312022220000
4121212333
511324040
62125343
7614550
oct314677
9168800
10104895
117189a
1250853
133898b
142a327
1521130
hex199bf

104895 has 40 divisors (see below), whose sum is σ = 220704. Its totient is φ = 46656.

The previous prime is 104891. The next prime is 104911. The reversal of 104895 is 598401.

It is not a de Polignac number, because 104895 - 22 = 104891 is a prime.

It is a super-2 number, since 2×1048952 = 22005922050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2817 + ... + 2853.

104895 is a Friedman number, since it can be written as (90/5)^4-81, using all its digits and the basic arithmetic operations.

2104895 is an apocalyptic number.

104895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104895 is an abundant number, since it is smaller than the sum of its proper divisors (115809).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104895 is an equidigital number, since it uses as much as digits as its factorization.

104895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 104895 is about 323.8749758780. The cubic root of 104895 is about 47.1612089118.

It can be divided in two parts, 104 and 895, that added together give a palindrome (999).

The spelling of 104895 in words is "one hundred four thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 259 315 333 405 555 567 777 945 999 1295 1665 2331 2835 2997 3885 4995 6993 11655 14985 20979 34965 104895