109930867200 has 2160 divisors, whose sum is σ = 539287429824. Its totient is φ = 21499084800.

The previous prime is 109930867199. The next prime is 109930867213. The reversal of 109930867200 is 2768039901.

It is a tau number, because it is divible by the number of its divisors (2160).

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 215 ways as a sum of consecutive naturals, for example, 6466521592 + ... + 6466521608.

Almost surely, 2^109930867200 is an apocalyptic number.

109930867200 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 109930867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269643714912).

109930867200 is an abundant number, since it is smaller than the sum of its proper divisors (429356562624).

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

109930867200 is an frugal number, since it uses more digits than its factorization.

109930867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 109930867200 in words is "one hundred nine billion, nine hundred thirty million, eight hundred sixty-seven thousand, two hundred".