103599648 has 84 divisors (see below), whose sum is σ = 305871678. Its totient is φ = 34525440.

The previous prime is 103599641. The next prime is 103599673. The reversal of 103599648 is 846995301.

It is a happy number.

103599648 is a `hidden beast` number, since 10 + 3 + 599 + 6 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92390544 + 11209104 = 9612^2 + 3348^2 .

It is a super-3 number, since 3×103599648³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103599641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21108 + ... + 25548.

Almost surely, 2^103599648 is an apocalyptic number.

103599648 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 103599648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152935839).

103599648 is an abundant number, since it is smaller than the sum of its proper divisors (202272030).

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

103599648 is an frugal number, since it uses more digits than its factorization.

103599648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 103599648 is about 10178.3912284801. The cubic root of 103599648 is about 469.6627246783.

The spelling of 103599648 in words is "one hundred three million, five hundred ninety-nine thousand, six hundred forty-eight".