103420800 has 576 divisors, whose sum is σ = 460387200. Its totient is φ = 22394880.

The previous prime is 103420789. The next prime is 103420813. The reversal of 103420800 is 8024301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5443191 + ... + 5443209.

Almost surely, 2^103420800 is an apocalyptic number.

103420800 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 103420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230193600).

103420800 is an abundant number, since it is smaller than the sum of its proper divisors (356966400).

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

103420800 is an equidigital number, since it uses as much as digits as its factorization.

103420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103420800 is about 10169.6017621144. The cubic root of 103420800 is about 469.3923034833.

It can be divided in two parts, 103 and 420800, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 103420800 in words is "one hundred three million, four hundred twenty thousand, eight hundred".