103552800 has 144 divisors (see below), whose sum is σ = 363101760. Its totient is φ = 25482240.

The previous prime is 103552789. The next prime is 103552871. The reversal of 103552800 is 8255301.

It is a super-3 number, since 3×103552800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29541 + ... + 32859.

It is an arithmetic number, because the mean of its divisors is an integer number (2521540).

Almost surely, 2^103552800 is an apocalyptic number.

103552800 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 103552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181550880).

103552800 is an abundant number, since it is smaller than the sum of its proper divisors (259548960).

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

103552800 is a wasteful number, since it uses less digits than its factorization.

103552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 103552800 is about 10176.0896222468. The cubic root of 103552800 is about 469.5919198151.

It can be divided in two parts, 1035 and 52800, that added together give a palindrome (53835).

The spelling of 103552800 in words is "one hundred three million, five hundred fifty-two thousand, eight hundred".