103504442400 has 108 divisors (see below), whose sum is σ = 364982565402. Its totient is φ = 27601182720.

The previous prime is 103504442383. The next prime is 103504442401. The reversal of 103504442400 is 4244405301.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 61303779216 + 42200663184 = 247596^2 + 205428^2 .

It is not an unprimeable number, because it can be changed into a prime (103504442401) 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 17 ways as a sum of consecutive naturals, for example, 7180609 + ... + 7195008.

Almost surely, 2^103504442400 is an apocalyptic number.

103504442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103504442400 is an abundant number, since it is smaller than the sum of its proper divisors (261478123002).

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

103504442400 is a wasteful number, since it uses less digits than its factorization.

103504442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14375643 (or 14375627 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 103504442400 its reverse (4244405301), we get a palindrome (107748847701).

It can be divided in two parts, 1035044 and 42400, that added together give a square (1077444 = 1038²).

The spelling of 103504442400 in words is "one hundred three billion, five hundred four million, four hundred forty-two thousand, four hundred".