100386338925600 has 4320 divisors, whose sum is σ = 498448772236800. Its totient is φ = 19413673574400.

The previous prime is 100386338925517. The next prime is 100386338925611. The reversal of 100386338925600 is 6529833683001.

It is a happy number.

100386338925600 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 6 + 3 + 3 + 8 + 9 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 24312504336 + ... + 24312508464.

It is an arithmetic number, because the mean of its divisors is an integer number (115381660240).

Almost surely, 2^{100386338925600} is an apocalyptic number.

100386338925600 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 100386338925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249224386118400).

100386338925600 is an abundant number, since it is smaller than the sum of its proper divisors (398062433311200).

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

100386338925600 is a wasteful number, since it uses less digits than its factorization.

100386338925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 100386338925600 in words is "one hundred trillion, three hundred eighty-six billion, three hundred thirty-eight million, nine hundred twenty-five thousand, six hundred".