105504400 has 30 divisors (see below), whose sum is σ = 253475282. Its totient is φ = 42201600.

The previous prime is 105504383. The next prime is 105504401. The reversal of 105504400 is 4405501.

It can be written as a sum of positive squares in 3 ways, for example, as 8363664 + 97140736 = 2892^2 + 9856^2 .

It is a super-2 number, since 2×105504400² = 22262356838720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105504401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131481 + ... + 132280.

Almost surely, 2^105504400 is an apocalyptic number.

105504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105504400 is an abundant number, since it is smaller than the sum of its proper divisors (147970882).

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

105504400 is a wasteful number, since it uses less digits than its factorization.

105504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263779 (or 263768 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 105504400 is about 10271.5334785026. The cubic root of 105504400 is about 472.5236217113.

Adding to 105504400 its reverse (4405501), we get a palindrome (109909901).

The spelling of 105504400 in words is "one hundred five million, five hundred four thousand, four hundred".