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104125 = 537217
BaseRepresentation
bin11001011010111101
312021211111
4121122331
511313000
62122021
7612400
oct313275
9167744
10104125
117125a
1250311
1338518
1429d37
1520cba
hex196bd

104125 has 24 divisors (see below), whose sum is σ = 160056. Its totient is φ = 67200.

The previous prime is 104123. The next prime is 104147. The reversal of 104125 is 521401.

It can be written as a sum of positive squares in 4 ways, for example, as 441 + 103684 = 21^2 + 322^2 .

It is not a de Polignac number, because 104125 - 21 = 104123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6117 + ... + 6133.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

2104125 is an apocalyptic number.

It is an amenable number.

104125 is a deficient number, since it is larger than the sum of its proper divisors (55931).

104125 is an equidigital number, since it uses as much as digits as its factorization.

104125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 104125 is about 322.6840560053. The cubic root of 104125 is about 47.0455270339.

Adding to 104125 its reverse (521401), we get a palindrome (625526).

The spelling of 104125 in words is "one hundred four thousand, one hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 125 175 245 425 595 833 875 1225 2125 2975 4165 6125 14875 20825 104125