100420213 has 16 divisors (see below), whose sum is σ = 105462000. Its totient is φ = 95546880.

The previous prime is 100420181. The next prime is 100420217. The reversal of 100420213 is 312024001.

It can be written as a sum of positive squares in 8 ways, for example, as 5299204 + 95121009 = 2302^2 + 9753^2 .

It is a cyclic number.

It is not a de Polignac number, because 100420213 - 2⁵ = 100420181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100420193 and 100420202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287563 + ... + 287911.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2^100420213 is an apocalyptic number.

It is an amenable number.

100420213 is a deficient number, since it is larger than the sum of its proper divisors (5041787).

100420213 is an equidigital number, since it uses as much as digits as its factorization.

100420213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100420213 is about 10020.9886238834. The cubic root of 100420213 is about 464.8081267964.

Adding to 100420213 its reverse (312024001), we get a palindrome (412444214).

The spelling of 100420213 in words is "one hundred million, four hundred twenty thousand, two hundred thirteen".