1107074304 has 360 divisors, whose sum is σ = 3917612160. Its totient is φ = 304238592.

The previous prime is 1107074303. The next prime is 1107074317. The reversal of 1107074304 is 4034707011.

It is a super-2 number, since 2×1107074304² = 2451227029154168832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107074303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4209277 + ... + 4209539.

It is an arithmetic number, because the mean of its divisors is an integer number (10882256).

Almost surely, 2^1107074304 is an apocalyptic number.

1107074304 is a gapful number since it is divisible by the number (14) 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 1107074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958806080).

1107074304 is an abundant number, since it is smaller than the sum of its proper divisors (2810537856).

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

1107074304 is an equidigital number, since it uses as much as digits as its factorization.

1107074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1107074304 is about 33272.7261281669. The cubic root of 1107074304 is about 1034.4883167039.

The spelling of 1107074304 in words is "one billion, one hundred seven million, seventy-four thousand, three hundred four".