108403948800 has 1296 divisors, whose sum is σ = 468143370240. Its totient is φ = 23410114560.

The previous prime is 108403948799. The next prime is 108403948811. The reversal of 108403948800 is 8849304801.

It is a super-2 number, since 2×108403948800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 853574337 + ... + 853574463.

Almost surely, 2^108403948800 is an apocalyptic number.

108403948800 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 108403948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234071685120).

108403948800 is an abundant number, since it is smaller than the sum of its proper divisors (359739421440).

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

108403948800 is a wasteful number, since it uses less digits than its factorization.

108403948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 108403948800 in words is "one hundred eight billion, four hundred three million, nine hundred forty-eight thousand, eight hundred".