108003366051840 has 1344 divisors, whose sum is σ = 453950405865216. Its totient is φ = 23187765067776.

The previous prime is 108003366051817. The next prime is 108003366051851. The reversal of 108003366051840 is 48150663300801.

108003366051840 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 3 + 36 + 60 + 518 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 24697771894 + ... + 24697776266.

Almost surely, 2^{108003366051840} is an apocalyptic number.

108003366051840 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 108003366051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226975202932608).

108003366051840 is an abundant number, since it is smaller than the sum of its proper divisors (345947039813376).

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

108003366051840 is a wasteful number, since it uses less digits than its factorization.

108003366051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4970 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 108003366051840 in words is "one hundred eight trillion, three billion, three hundred sixty-six million, fifty-one thousand, eight hundred forty".