109314110880 has 288 divisors, whose sum is σ = 402200954064. Its totient is φ = 26876510208.

The previous prime is 109314110827. The next prime is 109314110881. The reversal of 109314110880 is 88011413901.

It can be written as a sum of positive squares in 8 ways, for example, as 76952979216 + 32361131664 = 277404^2 + 179892^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (109314110881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18660912 + ... + 18666768.

Almost surely, 2^109314110880 is an apocalyptic number.

109314110880 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 109314110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201100477032).

109314110880 is an abundant number, since it is smaller than the sum of its proper divisors (292886843184).

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

109314110880 is a wasteful number, since it uses less digits than its factorization.

109314110880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 109314110880 in words is "one hundred nine billion, three hundred fourteen million, one hundred ten thousand, eight hundred eighty".