102584220 has 48 divisors (see below), whose sum is σ = 287790720. Its totient is φ = 27302976.

The previous prime is 102584179. The next prime is 102584231. The reversal of 102584220 is 22485201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37251 + ... + 39909.

It is an arithmetic number, because the mean of its divisors is an integer number (5995640).

Almost surely, 2^102584220 is an apocalyptic number.

102584220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102584220 is an abundant number, since it is smaller than the sum of its proper divisors (185206500).

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

102584220 is a wasteful number, since it uses less digits than its factorization.

102584220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 102584220 is about 10128.3868409535. The cubic root of 102584220 is about 468.1232234516.

The spelling of 102584220 in words is "one hundred two million, five hundred eighty-four thousand, two hundred twenty".