109819008 has 96 divisors (see below), whose sum is σ = 340370940. Its totient is φ = 33785856.

The previous prime is 109818991. The next prime is 109819009. The reversal of 109819008 is 800918901.

It can be written as a sum of positive squares in 2 ways, for example, as 80138304 + 29680704 = 8952^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (109819009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11310 + ... + 18642.

Almost surely, 2^109819008 is an apocalyptic number.

109819008 is a gapful number since it is divisible by the number (18) 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 109819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170185470).

109819008 is an abundant number, since it is smaller than the sum of its proper divisors (230551932).

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

109819008 is a wasteful number, since it uses less digits than its factorization.

109819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7351 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 109819008 is about 10479.4564744552. The cubic root of 109819008 is about 478.8790509403.

The spelling of 109819008 in words is "one hundred nine million, eight hundred nineteen thousand, eight".