100094422278400 has 243 divisors, whose sum is σ = 272343471783943. Its totient is φ = 36394770227200.

The previous prime is 100094422278379. The next prime is 100094422278413. The reversal of 100094422278400 is 4872224490001.

The square root of 100094422278400 is 10004720.

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 425667514624 + 99668754763776 = 652432^2 + 9983424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8804147916 + ... + 8804159284.

Almost surely, 2^{100094422278400} is an apocalyptic number.

100094422278400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100094422278400 is the 10004720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100094422278400

100094422278400 is an abundant number, since it is smaller than the sum of its proper divisors (172249049505543).

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

100094422278400 is an frugal number, since it uses more digits than its factorization.

100094422278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22786 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 100094422278400 in words is "one hundred trillion, ninety-four billion, four hundred twenty-two million, two hundred seventy-eight thousand, four hundred".