103283840 has 128 divisors (see below), whose sum is σ = 285534720. Its totient is φ = 35307520.

The previous prime is 103283839. The next prime is 103283861. The reversal of 103283840 is 48382301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119249 + ... + 120111.

It is an arithmetic number, because the mean of its divisors is an integer number (2230740).

Almost surely, 2^103283840 is an apocalyptic number.

103283840 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 103283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142767360).

103283840 is an abundant number, since it is smaller than the sum of its proper divisors (182250880).

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

103283840 is a wasteful number, since it uses less digits than its factorization.

103283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 103283840 is about 10162.8657375762. The cubic root of 103283840 is about 469.1850067899.

The spelling of 103283840 in words is "one hundred three million, two hundred eighty-three thousand, eight hundred forty".