103585248 has 144 divisors (see below), whose sum is σ = 322423920. Its totient is φ = 31352832.

The previous prime is 103585243. The next prime is 103585277. The reversal of 103585248 is 842585301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×103585248³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103585243) 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, 273123 + ... + 273501.

It is an arithmetic number, because the mean of its divisors is an integer number (2239055).

Almost surely, 2^103585248 is an apocalyptic number.

103585248 is a gapful number since it is divisible by the number (18) 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 103585248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161211960).

103585248 is an abundant number, since it is smaller than the sum of its proper divisors (218838672).

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

103585248 is a wasteful number, since it uses less digits than its factorization.

103585248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 103585248 is about 10177.6838229530. The cubic root of 103585248 is about 469.6409631610.

The spelling of 103585248 in words is "one hundred three million, five hundred eighty-five thousand, two hundred forty-eight".