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104405 = 5719157
BaseRepresentation
bin11001011111010101
312022012212
4121133111
511320110
62123205
7613250
oct313725
9168185
10104405
1171494
1250505
13386a2
142a097
1520e05
hex197d5

104405 has 16 divisors (see below), whose sum is σ = 151680. Its totient is φ = 67392.

The previous prime is 104399. The next prime is 104417. The reversal of 104405 is 504401.

104405 is nontrivially palindromic in base 12.

It is a cyclic number.

It is not a de Polignac number, because 104405 - 28 = 104149 is a prime.

104405 is an undulating number in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 104405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (9480).

2104405 is an apocalyptic number.

It is an amenable number.

104405 is a deficient number, since it is larger than the sum of its proper divisors (47275).

104405 is a wasteful number, since it uses less digits than its factorization.

104405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 104405 is about 323.1176256412. The cubic root of 104405 is about 47.0876589512.

Adding to 104405 its reverse (504401), we get a palindrome (608806).

The spelling of 104405 in words is "one hundred four thousand, four hundred five".

Divisors: 1 5 7 19 35 95 133 157 665 785 1099 2983 5495 14915 20881 104405