103225584 has 120 divisors (see below), whose sum is σ = 335117440. Its totient is φ = 26801280.

The previous prime is 103225579. The next prime is 103225589. The reversal of 103225584 is 485522301.

It is an interprime number because it is at equal distance from previous prime (103225579) and next prime (103225589).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103225589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39387 + ... + 41925.

Almost surely, 2^103225584 is an apocalyptic number.

103225584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103225584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167558720).

103225584 is an abundant number, since it is smaller than the sum of its proper divisors (231891856).

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

103225584 is a wasteful number, since it uses less digits than its factorization.

103225584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 103225584 is about 10159.9992125984. Note that the first 3 decimals coincide. The cubic root of 103225584 is about 469.0967774913.

Adding to 103225584 its reverse (485522301), we get a palindrome (588747885).

The spelling of 103225584 in words is "one hundred three million, two hundred twenty-five thousand, five hundred eighty-four".