18100181 has 8 divisors (see below), whose sum is σ = 19856928. Its totient is φ = 16362000.

The previous prime is 18100177. The next prime is 18100193.

18100181 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 18100181 - 2² = 18100177 is a prime.

It is a super-2 number, since 2×18100181² = 655233104465522, which contains 22 as substring.

18100181 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555 + ... + 6536.

It is an arithmetic number, because the mean of its divisors is an integer number (2482116).

Almost surely, 2^18100181 is an apocalyptic number.

18100181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18100181 is a deficient number, since it is larger than the sum of its proper divisors (1756747).

18100181 is a wasteful number, since it uses less digits than its factorization.

18100181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283.

The product of its (nonzero) digits is 64, while the sum is 20.

The square root of 18100181 is about 4254.4307492307. The cubic root of 18100181 is about 262.5594411119.

It can be divided in two parts, 18100 and 181, that multiplied together give a square (3276100 = 1810²).

The spelling of 18100181 in words is "eighteen million, one hundred thousand, one hundred eighty-one".