10103883654960 has 240 divisors, whose sum is σ = 34346912371200. Its totient is φ = 2661498740736.

The previous prime is 10103883654937. The next prime is 10103883654971. The reversal of 10103883654960 is 6945638830101.

10103883654960 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 8 + 8 + 36 + 549 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 10103883654897 and 10103883654906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66118321 + ... + 66270959.

It is an arithmetic number, because the mean of its divisors is an integer number (143112134880).

Almost surely, 2^{10103883654960} is an apocalyptic number.

10103883654960 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 10103883654960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173456185600).

10103883654960 is an abundant number, since it is smaller than the sum of its proper divisors (24243028716240).

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

10103883654960 is a wasteful number, since it uses less digits than its factorization.

10103883654960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153780 (or 153771 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10103883654960 in words is "ten trillion, one hundred three billion, eight hundred eighty-three million, six hundred fifty-four thousand, nine hundred sixty".