109689888 has 288 divisors, whose sum is σ = 386104320. Its totient is φ = 26611200.

The previous prime is 109689887. The next prime is 109689893. The reversal of 109689888 is 888986901.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (109689887) 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 47 ways as a sum of consecutive naturals, for example, 1544893 + ... + 1544963.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^109689888 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 109689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

109689888 is an abundant number, since it is smaller than the sum of its proper divisors (276414432).

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

109689888 is a wasteful number, since it uses less digits than its factorization.

109689888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The square root of 109689888 is about 10473.2940376942. The cubic root of 109689888 is about 478.6912962173.

The spelling of 109689888 in words is "one hundred nine million, six hundred eighty-nine thousand, eight hundred eighty-eight".