109601856 has 448 divisors, whose sum is σ = 430133760. Its totient is φ = 26542080.

The previous prime is 109601851. The next prime is 109601887. The reversal of 109601856 is 658106901.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 109601856.

It is not an unprimeable number, because it can be changed into a prime (109601851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2673196 + ... + 2673236.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^109601856 is an apocalyptic number.

109601856 is a gapful number since it is divisible by the number (16) 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 109601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

109601856 is an abundant number, since it is smaller than the sum of its proper divisors (320531904).

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

109601856 is a wasteful number, since it uses less digits than its factorization.

109601856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 109601856 is about 10469.0905049102. The cubic root of 109601856 is about 478.5632034908.

The spelling of 109601856 in words is "one hundred nine million, six hundred one thousand, eight hundred fifty-six".