103263200 has 72 divisors (see below), whose sum is σ = 260842680. Its totient is φ = 39872000.

The previous prime is 103263163. The next prime is 103263211. The reversal of 103263200 is 2362301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20975 + ... + 25425.

It is an arithmetic number, because the mean of its divisors is an integer number (3622815).

Almost surely, 2^103263200 is an apocalyptic number.

103263200 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 103263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130421340).

103263200 is an abundant number, since it is smaller than the sum of its proper divisors (157579480).

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

103263200 is a wasteful number, since it uses less digits than its factorization.

103263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 103263200 is about 10161.8502252297. The cubic root of 103263200 is about 469.1537510979.

The spelling of 103263200 in words is "one hundred three million, two hundred sixty-three thousand, two hundred".