1107345120 has 432 divisors, whose sum is σ = 4289377680. Its totient is φ = 239382528.

The previous prime is 1107345053. The next prime is 1107345121. The reversal of 1107345120 is 215437011.

It is a super-3 number, since 3×1107345120³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107345121) 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 71 ways as a sum of consecutive naturals, for example, 12442036 + ... + 12442124.

It is an arithmetic number, because the mean of its divisors is an integer number (9929115).

Almost surely, 2^1107345120 is an apocalyptic number.

1107345120 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 1107345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144688840).

1107345120 is an abundant number, since it is smaller than the sum of its proper divisors (3182032560).

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

1107345120 is a wasteful number, since it uses less digits than its factorization.

1107345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1107345120 is about 33276.7955187996. The cubic root of 1107345120 is about 1034.5726630891.

The spelling of 1107345120 in words is "one billion, one hundred seven million, three hundred forty-five thousand, one hundred twenty".