100380998390400 has 9216 divisors, whose sum is σ = 533017884672000. Its totient is φ = 17845195898880.

The previous prime is 100380998390347. The next prime is 100380998390437. The reversal of 100380998390400 is 4093899083001.

100380998390400 is a `hidden beast` number, since 10 + 0 + 380 + 99 + 83 + 90 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 1151 ways as a sum of consecutive naturals, for example, 2135765923177 + ... + 2135765923223.

It is an arithmetic number, because the mean of its divisors is an integer number (57836142000).

Almost surely, 2^{100380998390400} is an apocalyptic number.

100380998390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100380998390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266508942336000).

100380998390400 is an abundant number, since it is smaller than the sum of its proper divisors (432636886281600).

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

100380998390400 is a wasteful number, since it uses less digits than its factorization.

100380998390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 100380998390400 in words is "one hundred trillion, three hundred eighty billion, nine hundred ninety-eight million, three hundred ninety thousand, four hundred".