90180181 has 16 divisors (see below), whose sum is σ = 111291264. Its totient is φ = 71158464.

The previous prime is 90180161. The next prime is 90180187. The reversal of 90180181 is 18108109.

It is not a de Polignac number, because 90180181 - 2⁵ = 90180149 is a prime.

It is a super-2 number, since 2×90180181² = 16264930090385522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90180187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39195 + ... + 41431.

It is an arithmetic number, because the mean of its divisors is an integer number (6955704).

Almost surely, 2^90180181 is an apocalyptic number.

90180181 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

90180181 is a deficient number, since it is larger than the sum of its proper divisors (21111083).

90180181 is a wasteful number, since it uses less digits than its factorization.

90180181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700.

The product of its (nonzero) digits is 576, while the sum is 28.

The square root of 90180181 is about 9496.3246048142. The cubic root of 90180181 is about 448.4393360396.

The spelling of 90180181 in words is "ninety million, one hundred eighty thousand, one hundred eighty-one".