1130100768 has 384 divisors, whose sum is σ = 3723148800. Its totient is φ = 332107776.

The previous prime is 1130100749. The next prime is 1130100779. The reversal of 1130100768 is 8670010311.

1130100768 = 157³ + 158³ + ... + 267³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21322630 + ... + 21322682.

It is an arithmetic number, because the mean of its divisors is an integer number (9695700).

Almost surely, 2^1130100768 is an apocalyptic number.

1130100768 is a gapful number since it is divisible by the number (18) 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 1130100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400).

1130100768 is an abundant number, since it is smaller than the sum of its proper divisors (2593048032).

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

1130100768 is a wasteful number, since it uses less digits than its factorization.

1130100768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1130100768 is about 33616.9714281343. The cubic root of 1130100768 is about 1041.6113974416.

The spelling of 1130100768 in words is "one billion, one hundred thirty million, one hundred thousand, seven hundred sixty-eight".