100385770383360 has 3840 divisors, whose sum is σ = 481014939525120. Its totient is φ = 19402685153280.

The previous prime is 100385770383313. The next prime is 100385770383419. The reversal of 100385770383360 is 63383077583001.

100385770383360 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 577 + 0 + 3 + 8 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 100385770383297 and 100385770383306.

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 319 ways as a sum of consecutive naturals, for example, 54350713957 + ... + 54350715803.

It is an arithmetic number, because the mean of its divisors is an integer number (125264307168).

Almost surely, 2^{100385770383360} is an apocalyptic number.

100385770383360 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 100385770383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240507469762560).

100385770383360 is an abundant number, since it is smaller than the sum of its proper divisors (380629169141760).

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

100385770383360 is a wasteful number, since it uses less digits than its factorization.

100385770383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 100385770383360 in words is "one hundred trillion, three hundred eighty-five billion, seven hundred seventy million, three hundred eighty-three thousand, three hundred sixty".