1107083840 has 112 divisors (see below), whose sum is σ = 2765145600. Its totient is φ = 421386240.

The previous prime is 1107083839. The next prime is 1107083851. The reversal of 1107083840 is 483807011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1107083797 and 1107083806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2568425 + ... + 2568855.

It is an arithmetic number, because the mean of its divisors is an integer number (24688800).

Almost surely, 2^1107083840 is an apocalyptic number.

1107083840 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 1107083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382572800).

1107083840 is an abundant number, since it is smaller than the sum of its proper divisors (1658061760).

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

1107083840 is a wasteful number, since it uses less digits than its factorization.

1107083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1107083840 is about 33272.8694284097. The cubic root of 1107083840 is about 1034.4912869509.

The spelling of 1107083840 in words is "one billion, one hundred seven million, eighty-three thousand, eight hundred forty".