109858320 has 360 divisors, whose sum is σ = 441226968. Its totient is φ = 24330240.

The previous prime is 109858319. The next prime is 109858337. The reversal of 109858320 is 23858901.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 108743184 = 1056^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1132512 + ... + 1132608.

Almost surely, 2^109858320 is an apocalyptic number.

109858320 is a gapful number since it is divisible by the number (10) 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 109858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220613484).

109858320 is an abundant number, since it is smaller than the sum of its proper divisors (331368648).

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

109858320 is a wasteful number, since it uses less digits than its factorization.

109858320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 109858320 is about 10481.3319764236. The cubic root of 109858320 is about 478.9361856983.

The spelling of 109858320 in words is "one hundred nine million, eight hundred fifty-eight thousand, three hundred twenty".