103895142220800 has 1584 divisors, whose sum is σ = 448120516701312. Its totient is φ = 23357561241600.

The previous prime is 103895142220799. The next prime is 103895142220847. The reversal of 103895142220800 is 8022241598301.

103895142220800 is a `hidden beast` number, since 1 + 0 + 3 + 89 + 51 + 422 + 20 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2656262044 + ... + 2656301156.

Almost surely, 2^{103895142220800} is an apocalyptic number.

103895142220800 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 103895142220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224060258350656).

103895142220800 is an abundant number, since it is smaller than the sum of its proper divisors (344225374480512).

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

103895142220800 is an equidigital number, since it uses as much as digits as its factorization.

103895142220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39226 (or 39191 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 103895142220800 in words is "one hundred three trillion, eight hundred ninety-five billion, one hundred forty-two million, two hundred twenty thousand, eight hundred".