103983880 has 256 divisors, whose sum is σ = 326592000. Its totient is φ = 29352960.

The previous prime is 103983863. The next prime is 103983967. The reversal of 103983880 is 88389301.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 1961934 + ... + 1961986.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^103983880 is an apocalyptic number.

103983880 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 103983880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

103983880 is an abundant number, since it is smaller than the sum of its proper divisors (222608120).

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

103983880 is a wasteful number, since it uses less digits than its factorization.

103983880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 103983880 is about 10197.2486485326. The cubic root of 103983880 is about 470.2426391636.

The spelling of 103983880 in words is "one hundred three million, nine hundred eighty-three thousand, eight hundred eighty".