108033821280 has 960 divisors, whose sum is σ = 482185363968. Its totient is φ = 22126141440.

The previous prime is 108033821261. The next prime is 108033821281. The reversal of 108033821280 is 82128330801.

108033821280 is a `hidden beast` number, since 108 + 0 + 338 + 212 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108033821281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72847419 + ... + 72848901.

Almost surely, 2^108033821280 is an apocalyptic number.

108033821280 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 108033821280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241092681984).

108033821280 is an abundant number, since it is smaller than the sum of its proper divisors (374151542688).

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

108033821280 is a wasteful number, since it uses less digits than its factorization.

108033821280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 108033821280 in words is "one hundred eight billion, thirty-three million, eight hundred twenty-one thousand, two hundred eighty".