1100020420 has 48 divisors (see below), whose sum is σ = 2348604720. Its totient is φ = 432717824.

The previous prime is 1100020417. The next prime is 1100020423. The reversal of 1100020420 is 240200011.

It is an interprime number because it is at equal distance from previous prime (1100020417) and next prime (1100020423).

It can be written as a sum of positive squares in 8 ways, for example, as 216266436 + 883753984 = 14706^2 + 29728^2 .

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 = 1100020397 and 1100020406.

It is not an unprimeable number, because it can be changed into a prime (1100020423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349092 + ... + 352228.

It is an arithmetic number, because the mean of its divisors is an integer number (48929265).

Almost surely, 2^1100020420 is an apocalyptic number.

1100020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100020420 is an abundant number, since it is smaller than the sum of its proper divisors (1248584300).

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

1100020420 is a wasteful number, since it uses less digits than its factorization.

1100020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1100020420 is about 33166.5557452082. Note that the first 3 decimals coincide. The cubic root of 1100020420 is about 1032.2865030411.

Adding to 1100020420 its reverse (240200011), we get a palindrome (1340220431).

The spelling of 1100020420 in words is "one billion, one hundred million, twenty thousand, four hundred twenty".