1107313564 has 72 divisors (see below), whose sum is σ = 2490717600. Its totient is φ = 427198464.

The previous prime is 1107313553. The next prime is 1107313579. The reversal of 1107313564 is 4653137011.

It is a super-2 number, since 2×1107313564² = 2452286658036764192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69412 + ... + 83860.

It is an arithmetic number, because the mean of its divisors is an integer number (34593300).

Almost surely, 2^1107313564 is an apocalyptic number.

1107313564 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 1107313564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245358800).

1107313564 is an abundant number, since it is smaller than the sum of its proper divisors (1383404036).

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

1107313564 is a wasteful number, since it uses less digits than its factorization.

1107313564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507 (or 14498 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1107313564 is about 33276.3213712093. The cubic root of 1107313564 is about 1034.5628355943.

The spelling of 1107313564 in words is "one billion, one hundred seven million, three hundred thirteen thousand, five hundred sixty-four".