103609248 has 48 divisors (see below), whose sum is σ = 274409856. Its totient is φ = 34227200.

The previous prime is 103609189. The next prime is 103609301. The reversal of 103609248 is 842906301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103609248³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6073 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (5716872).

Almost surely, 2^103609248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103609248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137204928).

103609248 is an abundant number, since it is smaller than the sum of its proper divisors (170800608).

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

103609248 is a wasteful number, since it uses less digits than its factorization.

103609248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 103609248 is about 10178.8628048520. The cubic root of 103609248 is about 469.6772312363.

The spelling of 103609248 in words is "one hundred three million, six hundred nine thousand, two hundred forty-eight".