1130102064 has 640 divisors, whose sum is σ = 4499712000. Its totient is φ = 262766592.

The previous prime is 1130102059. The next prime is 1130102069. The reversal of 1130102064 is 4602010311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1130102059) and next prime (1130102069).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130102069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12697732 + ... + 12697820.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^1130102064 is an apocalyptic number.

1130102064 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 1130102064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856000).

1130102064 is an abundant number, since it is smaller than the sum of its proper divisors (3369609936).

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

1130102064 is a wasteful number, since it uses less digits than its factorization.

1130102064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1130102064 is about 33616.9907041068. The cubic root of 1130102064 is about 1041.6117956149.

Adding to 1130102064 its reverse (4602010311), we get a palindrome (5732112375).

The spelling of 1130102064 in words is "one billion, one hundred thirty million, one hundred two thousand, sixty-four".