103865794560 has 600 divisors, whose sum is σ = 406503732096. Its totient is φ = 25161891840.

The previous prime is 103865794537. The next prime is 103865794579. The reversal of 103865794560 is 65497568301.

103865794560 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 5 + 79 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103865794497 and 103865794506.

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 39 ways as a sum of consecutive naturals, for example, 72990009 + ... + 72991431.

Almost surely, 2^103865794560 is an apocalyptic number.

103865794560 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 103865794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203251866048).

103865794560 is an abundant number, since it is smaller than the sum of its proper divisors (302637937536).

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

103865794560 is an equidigital number, since it uses as much as digits as its factorization.

103865794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 103865794560 in words is "one hundred three billion, eight hundred sixty-five million, seven hundred ninety-four thousand, five hundred sixty".