103663800 has 216 divisors, whose sum is σ = 366085200. Its totient is φ = 27293760.

The previous prime is 103663799. The next prime is 103663823. The reversal of 103663800 is 8366301.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1312161 + ... + 1312239.

Almost surely, 2^103663800 is an apocalyptic number.

103663800 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 103663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183042600).

103663800 is an abundant number, since it is smaller than the sum of its proper divisors (262421400).

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

103663800 is an frugal number, since it uses more digits than its factorization.

103663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 103663800 is about 10181.5421228810. The cubic root of 103663800 is about 469.7596477430.

The spelling of 103663800 in words is "one hundred three million, six hundred sixty-three thousand, eight hundred".