10103616288 has 144 divisors (see below), whose sum is σ = 29137975776. Its totient is φ = 3320663040.

The previous prime is 10103616277. The next prime is 10103616329. The reversal of 10103616288 is 88261630101.

10103616288 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 616 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6430543 + ... + 6432113.

It is an arithmetic number, because the mean of its divisors is an integer number (202347054).

Almost surely, 2^10103616288 is an apocalyptic number.

10103616288 is a gapful number since it is divisible by the number (18) 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 10103616288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568987888).

10103616288 is an abundant number, since it is smaller than the sum of its proper divisors (19034359488).

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

10103616288 is a wasteful number, since it uses less digits than its factorization.

10103616288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10103616288 in words is "ten billion, one hundred three million, six hundred sixteen thousand, two hundred eighty-eight".