100302020 has 72 divisors (see below), whose sum is σ = 263904984. Its totient is φ = 31739904.

The previous prime is 100302017. The next prime is 100302029. The reversal of 100302020 is 20203001.

It can be written as a sum of positive squares in 4 ways, for example, as 3161284 + 97140736 = 1778^2 + 9856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100301989 and 100302007.

It is not an unprimeable number, because it can be changed into a prime (100302029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8804 + ... + 16676.

It is an arithmetic number, because the mean of its divisors is an integer number (3665347).

Almost surely, 2^100302020 is an apocalyptic number.

100302020 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 100302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131952492).

100302020 is an abundant number, since it is smaller than the sum of its proper divisors (163602964).

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

100302020 is a wasteful number, since it uses less digits than its factorization.

100302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100302020 is about 10015.0896151757. The cubic root of 100302020 is about 464.6256979383.

Adding to 100302020 its reverse (20203001), we get a palindrome (120505021).

The spelling of 100302020 in words is "one hundred million, three hundred two thousand, twenty".