103993080 has 128 divisors (see below), whose sum is σ = 347846400. Its totient is φ = 24717312.

The previous prime is 103993079. The next prime is 103993091. The reversal of 103993080 is 80399301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37419 + ... + 40101.

It is an arithmetic number, because the mean of its divisors is an integer number (2717550).

Almost surely, 2^103993080 is an apocalyptic number.

103993080 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 103993080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173923200).

103993080 is an abundant number, since it is smaller than the sum of its proper divisors (243853320).

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

103993080 is a wasteful number, since it uses less digits than its factorization.

103993080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 103993080 is about 10197.6997406278. The cubic root of 103993080 is about 470.2565070333.

The spelling of 103993080 in words is "one hundred three million, nine hundred ninety-three thousand, eighty".