1107823140 has 72 divisors (see below), whose sum is σ = 3367131768. Its totient is φ = 294827520.

The previous prime is 1107823103. The next prime is 1107823163. The reversal of 1107823140 is 413287011.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 1080699876 = 5208^2 + 32874^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87874 + ... + 99686.

It is an arithmetic number, because the mean of its divisors is an integer number (46765719).

Almost surely, 2^1107823140 is an apocalyptic number.

1107823140 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 1107823140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683565884).

1107823140 is an abundant number, since it is smaller than the sum of its proper divisors (2259308628).

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

1107823140 is a wasteful number, since it uses less digits than its factorization.

1107823140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12349 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1107823140 is about 33283.9772262871. The cubic root of 1107823140 is about 1034.7215101740.

The spelling of 1107823140 in words is "one billion, one hundred seven million, eight hundred twenty-three thousand, one hundred forty".