1075311120 has 160 divisors (see below), whose sum is σ = 3666765312. Its totient is φ = 259024896.

The previous prime is 1075311119. The next prime is 1075311121. The reversal of 1075311120 is 211135701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1075311119) and next prime (1075311121).

It is not an unprimeable number, because it can be changed into a prime (1075311121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142974 + ... + 150306.

Almost surely, 2^1075311120 is an apocalyptic number.

1075311120 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 1075311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833382656).

1075311120 is an abundant number, since it is smaller than the sum of its proper divisors (2591454192).

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

1075311120 is a wasteful number, since it uses less digits than its factorization.

1075311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1075311120 is about 32791.9368137962. The cubic root of 1075311120 is about 1024.4986229263.

Adding to 1075311120 its reverse (211135701), we get a palindrome (1286446821).

The spelling of 1075311120 in words is "one billion, seventy-five million, three hundred eleven thousand, one hundred twenty".