103801864320 has 768 divisors, whose sum is σ = 449008634880. Its totient is φ = 21467013120.

The previous prime is 103801864307. The next prime is 103801864321. The reversal of 103801864320 is 23468108301.

103801864320 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 0 + 1 + 8 + 643 + 2 + 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 (103801864321) 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 95 ways as a sum of consecutive naturals, for example, 125515747 + ... + 125516573.

It is an arithmetic number, because the mean of its divisors is an integer number (584646660).

Almost surely, 2^103801864320 is an apocalyptic number.

103801864320 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 103801864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224504317440).

103801864320 is an abundant number, since it is smaller than the sum of its proper divisors (345206770560).

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

103801864320 is a wasteful number, since it uses less digits than its factorization.

103801864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 103801864320 in words is "one hundred three billion, eight hundred one million, eight hundred sixty-four thousand, three hundred twenty".