181000100 has 18 divisors (see below), whose sum is σ = 392770434. Its totient is φ = 72400000.

The previous prime is 181000097. The next prime is 181000121. The reversal of 181000100 is 1000181.

It can be written as a sum of positive squares in 3 ways, for example, as 12208036 + 168792064 = 3494^2 + 12992^2 .

It is a super-2 number, since 2×181000100² = 65522072400020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 904901 + ... + 905100.

Almost surely, 2^181000100 is an apocalyptic number.

181000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181000100 is an abundant number, since it is smaller than the sum of its proper divisors (211770334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

181000100 is a wasteful number, since it uses less digits than its factorization.

181000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810015 (or 1810008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 181000100 is about 13453.6277635439. The cubic root of 181000100 is about 565.6653867564.

Adding to 181000100 its reverse (1000181), we get a palindrome (182000281).

The spelling of 181000100 in words is "one hundred eighty-one million, one hundred", and thus it is an aban number.