1107312960 has 224 divisors, whose sum is σ = 3835359360. Its totient is φ = 269033472.

The previous prime is 1107312959. The next prime is 1107313021. The reversal of 1107312960 is 692137011.

It is a super-2 number, since 2×1107312960² = 2452283982767923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035306 + ... + 1036374.

It is an arithmetic number, because the mean of its divisors is an integer number (17122140).

Almost surely, 2^1107312960 is an apocalyptic number.

1107312960 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 1107312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917679680).

1107312960 is an abundant number, since it is smaller than the sum of its proper divisors (2728046400).

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

1107312960 is a wasteful number, since it uses less digits than its factorization.

1107312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1107312960 is about 33276.3122956857. The cubic root of 1107312960 is about 1034.5626474886.

Adding to 1107312960 its reverse (692137011), we get a palindrome (1799449971).

The spelling of 1107312960 in words is "one billion, one hundred seven million, three hundred twelve thousand, nine hundred sixty".