103840400 has 60 divisors (see below), whose sum is σ = 260346432. Its totient is φ = 39726720.

The previous prime is 103840349. The next prime is 103840439. The reversal of 103840400 is 4048301.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 3557 + ... + 14843.

Almost surely, 2^103840400 is an apocalyptic number.

103840400 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 103840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130173216).

103840400 is an abundant number, since it is smaller than the sum of its proper divisors (156506032).

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

103840400 is a wasteful number, since it uses less digits than its factorization.

103840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 103840400 is about 10190.2109889835. The cubic root of 103840400 is about 470.0262547579.

Adding to 103840400 its reverse (4048301), we get a palindrome (107888701).

The spelling of 103840400 in words is "one hundred three million, eight hundred forty thousand, four hundred".