103716283680 has 192 divisors, whose sum is σ = 370731271680. Its totient is φ = 27069161472.

The previous prime is 103716283669. The next prime is 103716283691. The reversal of 103716283680 is 86382617301.

103716283680 is a `hidden beast` number, since 10 + 3 + 7 + 1 + 628 + 3 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103716283669) and next prime (103716283691).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52369 + ... + 458448.

It is an arithmetic number, because the mean of its divisors is an integer number (1930892040).

Almost surely, 2^103716283680 is an apocalyptic number.

103716283680 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 103716283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185365635840).

103716283680 is an abundant number, since it is smaller than the sum of its proper divisors (267014988000).

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

103716283680 is a wasteful number, since it uses less digits than its factorization.

103716283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510888 (or 510874 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 103716283680 in words is "one hundred three billion, seven hundred sixteen million, two hundred eighty-three thousand, six hundred eighty".