100107628944400 has 1215 divisors, whose sum is σ = 315334569055653. Its totient is φ = 30429162086400.

The previous prime is 100107628944397. The next prime is 100107628944431. The reversal of 100107628944400 is 4449826701001.

The square root of 100107628944400 is 10005380.

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

It can be written as a sum of positive squares in 13 ways, for example, as 86365127504656 + 13742501439744 = 9293284^2 + 3707088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1124804819556 + ... + 1124804819644.

Almost surely, 2^{100107628944400} is an apocalyptic number.

100107628944400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100107628944400 is the 10005380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100107628944400

100107628944400 is an abundant number, since it is smaller than the sum of its proper divisors (215226940111253).

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

100107628944400 is an equidigital number, since it uses as much as digits as its factorization.

100107628944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 100107628944400 in words is "one hundred trillion, one hundred seven billion, six hundred twenty-eight million, nine hundred forty-four thousand, four hundred".