103020825600 has 792 divisors, whose sum is σ = 459960703488. Its totient is φ = 21403238400.

The previous prime is 103020825587. The next prime is 103020825619. The reversal of 103020825600 is 6528020301.

103020825600 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 20 + 82 + 560 + 0 = 666.

103020825600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×103020825600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17737897 + ... + 17743703.

It is an arithmetic number, because the mean of its divisors is an integer number (580758464).

Almost surely, 2^103020825600 is an apocalyptic number.

103020825600 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 103020825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229980351744).

103020825600 is an abundant number, since it is smaller than the sum of its proper divisors (356939877888).

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

103020825600 is a wasteful number, since it uses less digits than its factorization.

103020825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 103020825600 its reverse (6528020301), we get a palindrome (109548845901).

The spelling of 103020825600 in words is "one hundred three billion, twenty million, eight hundred twenty-five thousand, six hundred".