103773415680 has 720 divisors, whose sum is σ = 426485505600. Its totient is φ = 23828152320.

The previous prime is 103773415663. The next prime is 103773415693. The reversal of 103773415680 is 86514377301.

103773415680 is a `hidden beast` number, since 10 + 3 + 7 + 73 + 4 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21666726 + ... + 21671514.

It is an arithmetic number, because the mean of its divisors is an integer number (592340980).

Almost surely, 2^103773415680 is an apocalyptic number.

103773415680 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 103773415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213242752800).

103773415680 is an abundant number, since it is smaller than the sum of its proper divisors (322712089920).

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

103773415680 is a wasteful number, since it uses less digits than its factorization.

103773415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 103773415680 in words is "one hundred three billion, seven hundred seventy-three million, four hundred fifteen thousand, six hundred eighty".