110020434320 has 80 divisors (see below), whose sum is σ = 265300542000. Its totient is φ = 42381072384.

The previous prime is 110020434319. The next prime is 110020434343. The reversal of 110020434320 is 23434020011.

It can be written as a sum of positive squares in 8 ways, for example, as 4431831184 + 105588603136 = 66572^2 + 324944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×110020434320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110020434292 and 110020434301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841526 + ... + 963434.

It is an arithmetic number, because the mean of its divisors is an integer number (3316256775).

Almost surely, 2^110020434320 is an apocalyptic number.

110020434320 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 110020434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132650271000).

110020434320 is an abundant number, since it is smaller than the sum of its proper divisors (155280107680).

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

110020434320 is a wasteful number, since it uses less digits than its factorization.

110020434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122340 (or 122334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 110020434320 its reverse (23434020011), we get a palindrome (133454454331).

The spelling of 110020434320 in words is "one hundred ten billion, twenty million, four hundred thirty-four thousand, three hundred twenty".