1107105480 has 288 divisors, whose sum is σ = 4028693760. Its totient is φ = 263278080.

The previous prime is 1107105457. The next prime is 1107105487. The reversal of 1107105480 is 845017011.

1107105480 is a `hidden beast` number, since 1 + 107 + 10 + 548 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1107105487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1885747 + ... + 1886333.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^1107105480 is an apocalyptic number.

1107105480 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 1107105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

1107105480 is an abundant number, since it is smaller than the sum of its proper divisors (2921588280).

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

1107105480 is a wasteful number, since it uses less digits than its factorization.

1107105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1107105480 is about 33273.1946166881. The cubic root of 1107105480 is about 1034.4980272551.

The spelling of 1107105480 in words is "one billion, one hundred seven million, one hundred five thousand, four hundred eighty".