1100210320 has 80 divisors (see below), whose sum is σ = 2829997440. Its totient is φ = 394419200.

The previous prime is 1100210317. The next prime is 1100210339. The reversal of 1100210320 is 230120011.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100210297 and 1100210306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53676 + ... + 71284.

It is an arithmetic number, because the mean of its divisors is an integer number (35374968).

Almost surely, 2^1100210320 is an apocalyptic number.

1100210320 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 1100210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414998720).

1100210320 is an abundant number, since it is smaller than the sum of its proper divisors (1729787120).

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

1100210320 is a wasteful number, since it uses less digits than its factorization.

1100210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17704 (or 17698 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100210320 is about 33169.4184453089. The cubic root of 1100210320 is about 1032.3459019164.

Adding to 1100210320 its reverse (230120011), we get a palindrome (1330330331).

The spelling of 1100210320 in words is "one billion, one hundred million, two hundred ten thousand, three hundred twenty".