110705220 has 72 divisors (see below), whose sum is σ = 343639296. Its totient is φ = 28832832.

The previous prime is 110705213. The next prime is 110705249. The reversal of 110705220 is 22507011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110705193 and 110705202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (4772768).

Almost surely, 2^110705220 is an apocalyptic number.

110705220 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 110705220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171819648).

110705220 is an abundant number, since it is smaller than the sum of its proper divisors (232934076).

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

110705220 is a wasteful number, since it uses less digits than its factorization.

110705220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14361 (or 14356 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 110705220 is about 10521.6548128134. The cubic root of 110705220 is about 480.1637462169.

It can be divided in two parts, 11070 and 5220, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 110705220 in words is "one hundred ten million, seven hundred five thousand, two hundred twenty".