104212042400 has 72 divisors (see below), whose sum is σ = 256926735324. Its totient is φ = 41272064000.

The previous prime is 104212042391. The next prime is 104212042439. The reversal of 104212042400 is 4240212401.

It can be written as a sum of positive squares in 6 ways, for example, as 31353076624 + 72858965776 = 177068^2 + 269924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 564077 + ... + 725676.

Almost surely, 2^104212042400 is an apocalyptic number.

104212042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104212042400 is an abundant number, since it is smaller than the sum of its proper divisors (152714692924).

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

104212042400 is a wasteful number, since it uses less digits than its factorization.

104212042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289874 (or 1289861 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 104212042400 its reverse (4240212401), we get a palindrome (108452254801).

The spelling of 104212042400 in words is "one hundred four billion, two hundred twelve million, forty-two thousand, four hundred".