10103263861617 has 48 divisors (see below), whose sum is σ = 14708086288896. Its totient is φ = 6682861584000.

The previous prime is 10103263861547. The next prime is 10103263861619. The reversal of 10103263861617 is 71616836230101.

10103263861617 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 2 + 638 + 6 + 1 + 6 + 1 + 7 = 666.

It is not a de Polignac number, because 10103263861617 - 2⁷ = 10103263861489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10103263861619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489933767 + ... + 1489940547.

It is an arithmetic number, because the mean of its divisors is an integer number (306418464352).

Almost surely, 2^{10103263861617} is an apocalyptic number.

It is an amenable number.

10103263861617 is a deficient number, since it is larger than the sum of its proper divisors (4604822427279).

10103263861617 is a wasteful number, since it uses less digits than its factorization.

10103263861617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10103263861617 in words is "ten trillion, one hundred three billion, two hundred sixty-three million, eight hundred sixty-one thousand, six hundred seventeen".