109993831200 has 288 divisors, whose sum is σ = 433976598720. Its totient is φ = 26665113600.

The previous prime is 109993831187. The next prime is 109993831229. The reversal of 109993831200 is 2138399901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6132 + ... + 469068.

It is an arithmetic number, because the mean of its divisors is an integer number (1506863190).

Almost surely, 2^109993831200 is an apocalyptic number.

109993831200 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 109993831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216988299360).

109993831200 is an abundant number, since it is smaller than the sum of its proper divisors (323982767520).

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

109993831200 is a wasteful number, since it uses less digits than its factorization.

109993831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462977 (or 462958 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 109993831200 in words is "one hundred nine billion, nine hundred ninety-three million, eight hundred thirty-one thousand, two hundred".