100013167 has 2 divisors, whose sum is σ = 100013168. Its totient is φ = 100013166.

The previous prime is 100013149. The next prime is 100013197. The reversal of 100013167 is 761310001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100013167 - 2¹⁵ = 99980399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100013197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006583 + 50006584.

It is an arithmetic number, because the mean of its divisors is an integer number (50006584).

Almost surely, 2^100013167 is an apocalyptic number.

100013167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013167 is an equidigital number, since it uses as much as digits as its factorization.

100013167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100013167 is about 10000.6583283302. The cubic root of 100013167 is about 464.1792544006.

Adding to 100013167 its reverse (761310001), we get a palindrome (861323168).

The spelling of 100013167 in words is "one hundred million, thirteen thousand, one hundred sixty-seven".