105304400 has 60 divisors (see below), whose sum is σ = 259204764. Its totient is φ = 41088000.

The previous prime is 105304399. The next prime is 105304421. The reversal of 105304400 is 4403501.

It can be written as a sum of positive squares in 6 ways, for example, as 27793984 + 77510416 = 5272^2 + 8804^2 .

It is a super-2 number, since 2×105304400² = 22178033318720000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13190 + ... + 19610.

Almost surely, 2^105304400 is an apocalyptic number.

105304400 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 105304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129602382).

105304400 is an abundant number, since it is smaller than the sum of its proper divisors (153900364).

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

105304400 is a wasteful number, since it uses less digits than its factorization.

105304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 105304400 is about 10261.7932156130. The cubic root of 105304400 is about 472.2248521704.

Adding to 105304400 its reverse (4403501), we get a palindrome (109707901).

The spelling of 105304400 in words is "one hundred five million, three hundred four thousand, four hundred".