1107316512 has 144 divisors (see below), whose sum is σ = 3278915640. Its totient is φ = 354041856.

The previous prime is 1107316489. The next prime is 1107316513. The reversal of 1107316512 is 2156137011.

1107316512 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 3 + 1 + 651 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1083463056 + 23853456 = 32916^2 + 4884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1107316512² = 2452299715495692288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1107316513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1645008 + ... + 1645680.

Almost surely, 2^1107316512 is an apocalyptic number.

1107316512 is a gapful number since it is divisible by the number (12) 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 1107316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639457820).

1107316512 is an abundant number, since it is smaller than the sum of its proper divisors (2171599128).

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

1107316512 is a wasteful number, since it uses less digits than its factorization.

1107316512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1107316512 is about 33276.3656669415. The cubic root of 1107316512 is about 1034.5637536988.

The spelling of 1107316512 in words is "one billion, one hundred seven million, three hundred sixteen thousand, five hundred twelve".