100906181 has 2 divisors, whose sum is σ = 100906182. Its totient is φ = 100906180.

The previous prime is 100906177. The next prime is 100906189. The reversal of 100906181 is 181609001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97812100 + 3094081 = 9890^2 + 1759^2 .

It is a cyclic number.

It is not a de Polignac number, because 100906181 - 2² = 100906177 is a prime.

It is a super-2 number, since 2×100906181² = 20364114728009522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100906181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100906189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50453090 + 50453091.

It is an arithmetic number, because the mean of its divisors is an integer number (50453091).

Almost surely, 2^100906181 is an apocalyptic number.

It is an amenable number.

100906181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100906181 is an equidigital number, since it uses as much as digits as its factorization.

100906181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 100906181 is about 10045.2068669590. The cubic root of 100906181 is about 465.5567094178.

The spelling of 100906181 in words is "one hundred million, nine hundred six thousand, one hundred eighty-one".