103989900 has 144 divisors (see below), whose sum is σ = 358977024. Its totient is φ = 22725120.

The previous prime is 103989883. The next prime is 103989913. The reversal of 103989900 is 9989301.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 47224 + ... + 49376.

It is an arithmetic number, because the mean of its divisors is an integer number (2492896).

Almost surely, 2^103989900 is an apocalyptic number.

103989900 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 103989900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179488512).

103989900 is an abundant number, since it is smaller than the sum of its proper divisors (254987124).

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

103989900 is a wasteful number, since it uses less digits than its factorization.

103989900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 103989900 is about 10197.5438219210. The cubic root of 103989900 is about 470.2517136665.

The spelling of 103989900 in words is "one hundred three million, nine hundred eighty-nine thousand, nine hundred".