104212752400 has 45 divisors (see below), whose sum is σ = 250386650103. Its totient is φ = 41682518400.

The previous prime is 104212752389. The next prime is 104212752443. The reversal of 104212752400 is 4257212401.

The square root of 104212752400 is 322820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5626800144 + 98585952256 = 75012^2 + 313984^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 6448330 + ... + 6464470.

Almost surely, 2^104212752400 is an apocalyptic number.

104212752400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104212752400 is the 322820-th square number.

It is an amenable number.

104212752400 is an abundant number, since it is smaller than the sum of its proper divisors (146173897703).

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

104212752400 is an frugal number, since it uses more digits than its factorization.

104212752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32300 (or 16148 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 104212752400 its reverse (4257212401), we get a palindrome (108469964801).

The spelling of 104212752400 in words is "one hundred four billion, two hundred twelve million, seven hundred fifty-two thousand, four hundred".