103200608 has 96 divisors (see below), whose sum is σ = 252237888. Its totient is φ = 40550400.

The previous prime is 103200607. The next prime is 103200613. The reversal of 103200608 is 806002301.

It is a self number, because there is not a number n which added to its sum of digits gives 103200608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 155798 + ... + 156458.

It is an arithmetic number, because the mean of its divisors is an integer number (2627478).

Almost surely, 2^103200608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103200608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126118944).

103200608 is an abundant number, since it is smaller than the sum of its proper divisors (149037280).

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

103200608 is a wasteful number, since it uses less digits than its factorization.

103200608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 103200608 is about 10158.7700042869. The cubic root of 103200608 is about 469.0589409211.

Adding to 103200608 its reverse (806002301), we get a palindrome (909202909).

The spelling of 103200608 in words is "one hundred three million, two hundred thousand, six hundred eight".