108661121800 has 432 divisors, whose sum is σ = 333155551680. Its totient is φ = 32201875200.

The previous prime is 108661121797. The next prime is 108661121801. The reversal of 108661121800 is 8121166801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (108661121801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 650665317 + ... + 650665483.

Almost surely, 2^108661121800 is an apocalyptic number.

108661121800 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 108661121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166577775840).

108661121800 is an abundant number, since it is smaller than the sum of its proper divisors (224494429880).

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

108661121800 is a wasteful number, since it uses less digits than its factorization.

108661121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The spelling of 108661121800 in words is "one hundred eight billion, six hundred sixty-one million, one hundred twenty-one thousand, eight hundred".