2105170203577 has 24 divisors (see below), whose sum is σ = 2449176912000. Its totient is φ = 1772329521600.

The previous prime is 2105170203553. The next prime is 2105170203581. The reversal of 2105170203577 is 7753020715012.

It is not a de Polignac number, because 2105170203577 - 2²⁷ = 2105035985849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2105170203517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14130924 + ... + 14279122.

It is an arithmetic number, because the mean of its divisors is an integer number (102049038000).

Almost surely, 2^{2105170203577} is an apocalyptic number.

It is an amenable number.

2105170203577 is a deficient number, since it is larger than the sum of its proper divisors (344006708423).

2105170203577 is an equidigital number, since it uses as much as digits as its factorization.

2105170203577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148597 (or 148446 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 40.

Adding to 2105170203577 its reverse (7753020715012), we get a palindrome (9858190918589).

The spelling of 2105170203577 in words is "two trillion, one hundred five billion, one hundred seventy million, two hundred three thousand, five hundred seventy-seven".