103825800 has 480 divisors, whose sum is σ = 425363400. Its totient is φ = 23224320.

The previous prime is 103825769. The next prime is 103825801. The reversal of 103825800 is 8528301.

It is a happy number.

103825800 is a `hidden beast` number, since 1 + 0 + 3 + 82 + 580 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4743684 + 99082116 = 2178^2 + 9954^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103825801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3580186 + ... + 3580214.

Almost surely, 2^103825800 is an apocalyptic number.

103825800 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 103825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212681700).

103825800 is an abundant number, since it is smaller than the sum of its proper divisors (321537600).

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

103825800 is a wasteful number, since it uses less digits than its factorization.

103825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 103825800 is about 10189.4945900177. The cubic root of 103825800 is about 470.0042251016.

The spelling of 103825800 in words is "one hundred three million, eight hundred twenty-five thousand, eight hundred".