109034688 has 112 divisors (see below), whose sum is σ = 340465664. Its totient is φ = 30136320.

The previous prime is 109034669. The next prime is 109034699. The reversal of 109034688 is 886430901.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×109034688³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40356 + ... + 42972.

It is an arithmetic number, because the mean of its divisors is an integer number (3039872).

Almost surely, 2^109034688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170232832).

109034688 is an abundant number, since it is smaller than the sum of its proper divisors (231430976).

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

109034688 is a wasteful number, since it uses less digits than its factorization.

109034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 109034688 is about 10441.9676306719. The cubic root of 109034688 is about 477.7362853858.

It can be divided in two parts, 1090 and 34688, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 109034688 in words is "one hundred nine million, thirty-four thousand, six hundred eighty-eight".