109168128 has 160 divisors (see below), whose sum is σ = 331452000. Its totient is φ = 35463168.

The previous prime is 109168127. The next prime is 109168133. The reversal of 109168128 is 821861901.

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

It is a junction number, because it is equal to n+sod(n) for n = 109168092 and 109168101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109168123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732598 + ... + 732746.

It is an arithmetic number, because the mean of its divisors is an integer number (2071575).

Almost surely, 2^109168128 is an apocalyptic number.

109168128 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 109168128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165726000).

109168128 is an abundant number, since it is smaller than the sum of its proper divisors (222283872).

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

109168128 is an equidigital number, since it uses as much as digits as its factorization.

109168128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 109168128 is about 10448.3552772673. The cubic root of 109168128 is about 477.9310953822.

It can be divided in two parts, 10916 and 8128, that added together give a square (19044 = 138²).

The spelling of 109168128 in words is "one hundred nine million, one hundred sixty-eight thousand, one hundred twenty-eight".