103786228350720 has 720 divisors, whose sum is σ = 380338438344480. Its totient is φ = 27014595379200.

The previous prime is 103786228350709. The next prime is 103786228350751. The reversal of 103786228350720 is 27053822687301.

103786228350720 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 8 + 622 + 8 + 3 + 5 + 0 + 7 + 2 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 828444246 + ... + 828569514.

It is an arithmetic number, because the mean of its divisors is an integer number (528247831034).

Almost surely, 2^{103786228350720} is an apocalyptic number.

103786228350720 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 103786228350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190169219172240).

103786228350720 is an abundant number, since it is smaller than the sum of its proper divisors (276552209993760).

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

103786228350720 is a wasteful number, since it uses less digits than its factorization.

103786228350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125494 (or 125471 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 103786228350720 in words is "one hundred three trillion, seven hundred eighty-six billion, two hundred twenty-eight million, three hundred fifty thousand, seven hundred twenty".