109980999072 has 336 divisors, whose sum is σ = 380088459072. Its totient is φ = 30654858240.

The previous prime is 109980999071. The next prime is 109980999077. The reversal of 109980999072 is 270999089901.

109980999072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×109980999072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (109980999071) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6686923 + ... + 6703349.

It is an arithmetic number, because the mean of its divisors is an integer number (1131215652).

Almost surely, 2^109980999072 is an apocalyptic number.

109980999072 is a gapful number since it is divisible by the number (12) 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 109980999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190044229536).

109980999072 is an abundant number, since it is smaller than the sum of its proper divisors (270107460000).

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

109980999072 is an equidigital number, since it uses as much as digits as its factorization.

109980999072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16503 (or 16480 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 63.

The spelling of 109980999072 in words is "one hundred nine billion, nine hundred eighty million, nine hundred ninety-nine thousand, seventy-two".