103587984 has 140 divisors (see below), whose sum is σ = 307386576. Its totient is φ = 33794496.

The previous prime is 103587983. The next prime is 103587997. The reversal of 103587984 is 489785301.

It is a super-3 number, since 3×103587984³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (103587983) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 968059 + ... + 968165.

Almost surely, 2^103587984 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 103587984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153693288).

103587984 is an abundant number, since it is smaller than the sum of its proper divisors (203798592).

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

103587984 is an equidigital number, since it uses as much as digits as its factorization.

103587984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 103587984 is about 10177.8182337866. The cubic root of 103587984 is about 469.6450980045.

The spelling of 103587984 in words is "one hundred three million, five hundred eighty-seven thousand, nine hundred eighty-four".