1130105345 has 48 divisors (see below), whose sum is σ = 1540162512. Its totient is φ = 792760320.

The previous prime is 1130105323. The next prime is 1130105369. The reversal of 1130105345 is 5435010311.

It can be written as a sum of positive squares in 8 ways, for example, as 328479376 + 801625969 = 18124^2 + 28313^2 .

It is not a de Polignac number, because 1130105345 - 2¹⁸ = 1129843201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1130105345.

It is a congruent number.

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, 1843259 + ... + 1843871.

It is an arithmetic number, because the mean of its divisors is an integer number (32086719).

Almost surely, 2^1130105345 is an apocalyptic number.

It is an amenable number.

1130105345 is a deficient number, since it is larger than the sum of its proper divisors (410057167).

1130105345 is a wasteful number, since it uses less digits than its factorization.

1130105345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1130105345 is about 33617.0395037993. The cubic root of 1130105345 is about 1041.6128036433.

Adding to 1130105345 its reverse (5435010311), we get a palindrome (6565115656).

The spelling of 1130105345 in words is "one billion, one hundred thirty million, one hundred five thousand, three hundred forty-five".