1143106680 has 128 divisors (see below), whose sum is σ = 3493601280. Its totient is φ = 299174400.

The previous prime is 1143106667. The next prime is 1143106687. The reversal of 1143106680 is 866013411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143106687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630330 + ... + 1631030.

It is an arithmetic number, because the mean of its divisors is an integer number (27293760).

Almost surely, 2^1143106680 is an apocalyptic number.

1143106680 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 1143106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746800640).

1143106680 is an abundant number, since it is smaller than the sum of its proper divisors (2350494600).

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

1143106680 is a wasteful number, since it uses less digits than its factorization.

1143106680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1143106680 is about 33809.8606918159. The cubic root of 1143106680 is about 1045.5920060028.

The spelling of 1143106680 in words is "one billion, one hundred forty-three million, one hundred six thousand, six hundred eighty".