105504 has 48 divisors (see below), whose sum is σ = 318528. Its totient is φ = 29952.

The previous prime is 105503. The next prime is 105509. The reversal of 105504 is 405501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105504² = 22262188032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105503) 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, 594 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (6636).

2¹⁰⁵⁵⁰⁴ is an apocalyptic number.

105504 is a gapful number since it is divisible by the number (14) 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 105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159264).

105504 is an abundant number, since it is smaller than the sum of its proper divisors (213024).

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

105504 is a wasteful number, since it uses less digits than its factorization.

105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105504 is about 324.8137928106. The cubic root of 105504 is about 47.2523024549.

The spelling of 105504 in words is "one hundred five thousand, five hundred four".