1045111320 has 288 divisors, whose sum is σ = 3822165360. Its totient is φ = 245606400.

The previous prime is 1045111313. The next prime is 1045111343. The reversal of 1045111320 is 231115401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1045111293 and 1045111302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6656682 + ... + 6656838.

Almost surely, 2^1045111320 is an apocalyptic number.

1045111320 is a gapful number since it is divisible by the number (10) 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 1045111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911082680).

1045111320 is an abundant number, since it is smaller than the sum of its proper divisors (2777054040).

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

1045111320 is a wasteful number, since it uses less digits than its factorization.

1045111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1045111320 is about 32328.1815139670. The cubic root of 1045111320 is about 1014.8164939592.

Adding to 1045111320 its reverse (231115401), we get a palindrome (1276226721).

The spelling of 1045111320 in words is "one billion, forty-five million, one hundred eleven thousand, three hundred twenty".