100242020 has 12 divisors (see below), whose sum is σ = 210508284. Its totient is φ = 40096800.

The previous prime is 100242019. The next prime is 100242029. The reversal of 100242020 is 20242001.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 70123876 = 5488^2 + 8374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100241992 and 100242010.

It is not an unprimeable number, because it can be changed into a prime (100242029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2506031 + ... + 2506070.

It is an arithmetic number, because the mean of its divisors is an integer number (17542357).

Almost surely, 2^100242020 is an apocalyptic number.

100242020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100242020 is an abundant number, since it is smaller than the sum of its proper divisors (110266264).

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

100242020 is a wasteful number, since it uses less digits than its factorization.

100242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012110 (or 5012108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 100242020 is about 10012.0936871366. The cubic root of 100242020 is about 464.5330341267.

Adding to 100242020 its reverse (20242001), we get a palindrome (120484021).

The spelling of 100242020 in words is "one hundred million, two hundred forty-two thousand, twenty".