103275244800 has 2592 divisors, whose sum is σ = 514799550720. Its totient is φ = 19110297600.

The previous prime is 103275244789. The next prime is 103275244913. The reversal of 103275244800 is 8442572301.

It is a happy number.

103275244800 is a `hidden beast` number, since 10 + 327 + 5 + 244 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1693036770 + ... + 1693036830.

Almost surely, 2^103275244800 is an apocalyptic number.

103275244800 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 103275244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257399775360).

103275244800 is an abundant number, since it is smaller than the sum of its proper divisors (411524305920).

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

103275244800 is a wasteful number, since it uses less digits than its factorization.

103275244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 103275244800 in words is "one hundred three billion, two hundred seventy-five million, two hundred forty-four thousand, eight hundred".