104896 has 28 divisors (see below), whose sum is σ = 228600. Its totient is φ = 47360.

The previous prime is 104891. The next prime is 104911. The reversal of 104896 is 698401.

It is a super-2 number, since 2×104896² = 22006341632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 630 + ... + 778.

104896 is a Friedman number, since it can be written as 16*9^4-80, using all its digits and the basic arithmetic operations.

2¹⁰⁴⁸⁹⁶ is an apocalyptic number.

104896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114300).

104896 is an abundant number, since it is smaller than the sum of its proper divisors (123704).

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

104896 is a wasteful number, since it uses less digits than its factorization.

104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 104896 is about 323.8765196800. The cubic root of 104896 is about 47.1613587793.

Subtracting 104896 from its reverse (698401), we obtain a triangular number (593505 = T₁₀₈₉).

It can be divided in two parts, 104 and 896, that added together give a cube (1000 = 10³).

The spelling of 104896 in words is "one hundred four thousand, eight hundred ninety-six".