103630800 has 360 divisors, whose sum is σ = 416443584. Its totient is φ = 21565440.

The previous prime is 103630789. The next prime is 103630829. The reversal of 103630800 is 8036301.

It is a super-3 number, since 3×103630800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 71 ways as a sum of consecutive naturals, for example, 1419564 + ... + 1419636.

Almost surely, 2^103630800 is an apocalyptic number.

103630800 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 103630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208221792).

103630800 is an abundant number, since it is smaller than the sum of its proper divisors (312812784).

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

103630800 is a wasteful number, since it uses less digits than its factorization.

103630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103630800 is about 10179.9214142350. The cubic root of 103630800 is about 469.7097951953.

The spelling of 103630800 in words is "one hundred three million, six hundred thirty thousand, eight hundred".