109038816 has 72 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 34206720.

The previous prime is 109038779. The next prime is 109038821. The reversal of 109038816 is 618830901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6240 + ... + 16031.

It is an arithmetic number, because the mean of its divisors is an integer number (4560192).

Almost surely, 2^109038816 is an apocalyptic number.

109038816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109038816 is an abundant number, since it is smaller than the sum of its proper divisors (219295008).

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

109038816 is a wasteful number, since it uses less digits than its factorization.

109038816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22304 (or 22293 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 109038816 is about 10442.1652926967. The cubic root of 109038816 is about 477.7423142638.

The spelling of 109038816 in words is "one hundred nine million, thirty-eight thousand, eight hundred sixteen".