109919880 has 192 divisors, whose sum is σ = 416482560. Its totient is φ = 24620544.

The previous prime is 109919879. The next prime is 109919881. The reversal of 109919880 is 88919901.

It is an interprime number because it is at equal distance from previous prime (109919879) and next prime (109919881).

It is a super-3 number, since 3×109919880³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (109919881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133149 + ... + 133971.

It is an arithmetic number, because the mean of its divisors is an integer number (2169180).

Almost surely, 2^109919880 is an apocalyptic number.

109919880 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 109919880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208241280).

109919880 is an abundant number, since it is smaller than the sum of its proper divisors (306562680).

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

109919880 is a wasteful number, since it uses less digits than its factorization.

109919880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The square root of 109919880 is about 10484.2682148064. The cubic root of 109919880 is about 479.0256275850.

The spelling of 109919880 in words is "one hundred nine million, nine hundred nineteen thousand, eight hundred eighty".