10105205040503 has 12 divisors (see below), whose sum is σ = 10220761471440. Its totient is φ = 9990013303392.

The previous prime is 10105205040449. The next prime is 10105205040523. The reversal of 10105205040503 is 30504050250101.

It is not a de Polignac number, because 10105205040503 - 2¹⁶ = 10105204974967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105205040523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35348243 + ... + 35632971.

It is an arithmetic number, because the mean of its divisors is an integer number (851730122620).

Almost surely, 2^{10105205040503} is an apocalyptic number.

10105205040503 is a deficient number, since it is larger than the sum of its proper divisors (115556430937).

10105205040503 is an frugal number, since it uses more digits than its factorization.

10105205040503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286006 (or 285419 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 10105205040503 its reverse (30504050250101), we get a palindrome (40609255290604).

The spelling of 10105205040503 in words is "ten trillion, one hundred five billion, two hundred five million, forty thousand, five hundred three".