100067213 has 2 divisors, whose sum is σ = 100067214. Its totient is φ = 100067212.

The previous prime is 100067171. The next prime is 100067221. The reversal of 100067213 is 312760001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96079204 + 3988009 = 9802^2 + 1997^2 .

It is a cyclic number.

It is not a de Polignac number, because 100067213 - 2¹⁴ = 100050829 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100067293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50033606 + 50033607.

It is an arithmetic number, because the mean of its divisors is an integer number (50033607).

Almost surely, 2^100067213 is an apocalyptic number.

It is an amenable number.

100067213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100067213 is an equidigital number, since it uses as much as digits as its factorization.

100067213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 100067213 is about 10003.3600854913. The cubic root of 100067213 is about 464.2628517748.

The spelling of 100067213 in words is "one hundred million, sixty-seven thousand, two hundred thirteen".