100106213 has 4 divisors (see below), whose sum is σ = 100659468. Its totient is φ = 99552960.

The previous prime is 100106203. The next prime is 100106243. The reversal of 100106213 is 312601001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312601001 = 71 ⋅4402831.

It can be written as a sum of positive squares in 2 ways, for example, as 51008164 + 49098049 = 7142^2 + 7007^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106213 - 2¹⁰ = 100105189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106203) 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, 276356 + ... + 276717.

It is an arithmetic number, because the mean of its divisors is an integer number (25164867).

Almost surely, 2^100106213 is an apocalyptic number.

It is an amenable number.

100106213 is a deficient number, since it is larger than the sum of its proper divisors (553255).

100106213 is an equidigital number, since it uses as much as digits as its factorization.

100106213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553254.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100106213 is about 10005.3092405982. The cubic root of 100106213 is about 464.3231575731.

Adding to 100106213 its reverse (312601001), we get a palindrome (412707214).

The spelling of 100106213 in words is "one hundred million, one hundred six thousand, two hundred thirteen".