103993400 has 96 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 35022720.

The previous prime is 103993397. The next prime is 103993411. The reversal of 103993400 is 4399301.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 81971 + ... + 83229.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^103993400 is an apocalyptic number.

103993400 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 103993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

103993400 is an abundant number, since it is smaller than the sum of its proper divisors (177238600).

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

103993400 is a wasteful number, since it uses less digits than its factorization.

103993400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 103993400 is about 10197.7154304285. The cubic root of 103993400 is about 470.2569893793.

The spelling of 103993400 in words is "one hundred three million, nine hundred ninety-three thousand, four hundred".