1107008543952 has 120 divisors (see below), whose sum is σ = 3135769256256. Its totient is φ = 364528539648.

The previous prime is 1107008543929. The next prime is 1107008544017. The reversal of 1107008543952 is 2593458007011.

1107008543952 is a `hidden beast` number, since 1 + 10 + 7 + 0 + 0 + 8 + 543 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1107008543898 and 1107008543907.

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, 7568053 + ... + 7712939.

Almost surely, 2^{1107008543952} is an apocalyptic number.

1107008543952 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 1107008543952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567884628128).

1107008543952 is an abundant number, since it is smaller than the sum of its proper divisors (2028760712304).

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

1107008543952 is a wasteful number, since it uses less digits than its factorization.

1107008543952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145545 (or 145536 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1107008543952 in words is "one trillion, one hundred seven billion, eight million, five hundred forty-three thousand, nine hundred fifty-two".