103987072 has 64 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 43513344.

The previous prime is 103987063. The next prime is 103987099. The reversal of 103987072 is 270789301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×103987072³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37179 + ... + 39877.

It is an arithmetic number, because the mean of its divisors is an integer number (3786750).

Almost surely, 2^103987072 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 103987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

103987072 is an abundant number, since it is smaller than the sum of its proper divisors (138364928).

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

103987072 is an equidigital number, since it uses as much as digits as its factorization.

103987072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 103987072 is about 10197.4051601376. The cubic root of 103987072 is about 470.2474508041.

The spelling of 103987072 in words is "one hundred three million, nine hundred eighty-seven thousand, seventy-two".