105504000 has 288 divisors, whose sum is σ = 403044096. Its totient is φ = 23961600.

The previous prime is 105503969. The next prime is 105504073. The reversal of 105504000 is 405501.

It is a super-2 number, since 2×105504000² = 22262188032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 671922 + ... + 672078.

Almost surely, 2^105504000 is an apocalyptic number.

105504000 is a gapful number since it is divisible by the number (10) 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 105504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522048).

105504000 is an abundant number, since it is smaller than the sum of its proper divisors (297540096).

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

105504000 is an equidigital number, since it uses as much as digits as its factorization.

105504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

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

The square root of 105504000 is about 10271.5140071948. The cubic root of 105504000 is about 472.5230245492.

Adding to 105504000 its reverse (405501), we get a palindrome (105909501).

The spelling of 105504000 in words is "one hundred five million, five hundred four thousand".