100858181 has 2 divisors, whose sum is σ = 100858182. Its totient is φ = 100858180.

The previous prime is 100858171. The next prime is 100858183. The reversal of 100858181 is 181858001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51984100 + 48874081 = 7210^2 + 6991^2 .

It is a cyclic number.

It is not a de Polignac number, because 100858181 - 2⁶ = 100858117 is a prime.

It is a super-2 number, since 2×100858181² = 20344745349257522, which contains 22 as substring.

Together with 100858183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100858183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50429090 + 50429091.

It is an arithmetic number, because the mean of its divisors is an integer number (50429091).

Almost surely, 2^100858181 is an apocalyptic number.

It is an amenable number.

100858181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100858181 is an equidigital number, since it uses as much as digits as its factorization.

100858181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 32.

The square root of 100858181 is about 10042.8173835832. The cubic root of 100858181 is about 465.4828775800.

The spelling of 100858181 in words is "one hundred million, eight hundred fifty-eight thousand, one hundred eighty-one".