102815181 has 18 divisors (see below), whose sum is σ = 172758222. Its totient is φ = 58751280.

The previous prime is 102815173. The next prime is 102815183. The reversal of 102815181 is 181518201.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 15093225 = 9366^2 + 3885^2 .

It is not a de Polignac number, because 102815181 - 2³ = 102815173 is a prime.

It is a super-2 number, since 2×102815181² = 21141922888125522, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102815183) 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 17 ways as a sum of consecutive naturals, for example, 116130 + ... + 117011.

It is an arithmetic number, because the mean of its divisors is an integer number (9597679).

Almost surely, 2^102815181 is an apocalyptic number.

It is an amenable number.

102815181 is a deficient number, since it is larger than the sum of its proper divisors (69943041).

102815181 is a wasteful number, since it uses less digits than its factorization.

102815181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233161 (or 233151 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The square root of 102815181 is about 10139.7820982504. The cubic root of 102815181 is about 468.4742753938.

The spelling of 102815181 in words is "one hundred two million, eight hundred fifteen thousand, one hundred eighty-one".