103786794720 has 768 divisors, whose sum is σ = 451171123200. Its totient is φ = 21745428480.

The previous prime is 103786794703. The next prime is 103786794731. The reversal of 103786794720 is 27497687301.

103786794720 is a `hidden beast` number, since 103 + 7 + 8 + 67 + 9 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17808447 + ... + 17814273.

It is an arithmetic number, because the mean of its divisors is an integer number (587462400).

Almost surely, 2^103786794720 is an apocalyptic number.

103786794720 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 103786794720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225585561600).

103786794720 is an abundant number, since it is smaller than the sum of its proper divisors (347384328480).

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

103786794720 is a wasteful number, since it uses less digits than its factorization.

103786794720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 103786794720 in words is "one hundred three billion, seven hundred eighty-six million, seven hundred ninety-four thousand, seven hundred twenty".