103356640800 has 1296 divisors, whose sum is σ = 473051910240. Its totient is φ = 21041233920.

The previous prime is 103356640733. The next prime is 103356640801. The reversal of 103356640800 is 8046653301.

103356640800 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 5 + 6 + 640 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103356640801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 113953947 + ... + 113954853.

It is an arithmetic number, because the mean of its divisors is an integer number (365009190).

Almost surely, 2^103356640800 is an apocalyptic number.

103356640800 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 103356640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236525955120).

103356640800 is an abundant number, since it is smaller than the sum of its proper divisors (369695269440).

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

103356640800 is a wasteful number, since it uses less digits than its factorization.

103356640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 103356640800 in words is "one hundred three billion, three hundred fifty-six million, six hundred forty thousand, eight hundred".