103987600 has 120 divisors (see below), whose sum is σ = 265697280. Its totient is φ = 39029760.

The previous prime is 103987579. The next prime is 103987601. The reversal of 103987600 is 6789301.

It is not an unprimeable number, because it can be changed into a prime (103987601) 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, 818737 + ... + 818863.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^103987600 is an apocalyptic number.

103987600 is a gapful number since it is divisible by the number (10) 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 103987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

103987600 is an abundant number, since it is smaller than the sum of its proper divisors (161709680).

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

103987600 is a wasteful number, since it uses less digits than its factorization.

103987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 103987600 is about 10197.4310490437. The cubic root of 103987600 is about 470.2482467051.

The spelling of 103987600 in words is "one hundred three million, nine hundred eighty-seven thousand, six hundred".